Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 359.5 | ||
Character | \(\chi\) | \(=\) | 546.359 |
Dual form | 546.2.bv.a.473.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −1.11793 | + | 1.32296i | −0.645439 | + | 0.763812i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 0.488980 | + | 1.82490i | 0.218678 | + | 0.816119i | 0.984839 | + | 0.173470i | \(0.0554980\pi\) |
−0.766161 | + | 0.642649i | \(0.777835\pi\) | |||||||
\(6\) | 1.56722 | + | 0.737434i | 0.639817 | + | 0.301056i | ||||
\(7\) | 0.619719 | − | 2.57215i | 0.234232 | − | 0.972181i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −0.500449 | − | 2.95796i | −0.166816 | − | 0.985988i | ||||
\(10\) | 1.63616 | − | 0.944637i | 0.517399 | − | 0.298720i | ||||
\(11\) | 0.458908 | − | 1.71267i | 0.138366 | − | 0.516388i | −0.861595 | − | 0.507596i | \(-0.830534\pi\) |
0.999961 | − | 0.00879290i | \(-0.00279890\pi\) | |||||||
\(12\) | 0.306679 | − | 1.70468i | 0.0885305 | − | 0.492100i | ||||
\(13\) | 1.62200 | + | 3.22011i | 0.449861 | + | 0.893098i | ||||
\(14\) | −2.64490 | + | 0.0671181i | −0.706879 | + | 0.0179381i | ||||
\(15\) | −2.96091 | − | 1.39321i | −0.764505 | − | 0.359726i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 2.01432 | + | 3.48891i | 0.488545 | + | 0.846186i | 0.999913 | − | 0.0131764i | \(-0.00419430\pi\) |
−0.511368 | + | 0.859362i | \(0.670861\pi\) | |||||||
\(18\) | −2.72765 | + | 1.24897i | −0.642913 | + | 0.294386i | ||||
\(19\) | 3.18839 | − | 0.854328i | 0.731468 | − | 0.195996i | 0.126185 | − | 0.992007i | \(-0.459727\pi\) |
0.605283 | + | 0.796011i | \(0.293060\pi\) | |||||||
\(20\) | −1.33592 | − | 1.33592i | −0.298720 | − | 0.298720i | ||||
\(21\) | 2.71005 | + | 3.69536i | 0.591380 | + | 0.806393i | ||||
\(22\) | −1.77308 | −0.378023 | ||||||||
\(23\) | −3.75204 | + | 6.49873i | −0.782355 | + | 1.35508i | 0.148211 | + | 0.988956i | \(0.452648\pi\) |
−0.930566 | + | 0.366123i | \(0.880685\pi\) | |||||||
\(24\) | −1.72597 | + | 0.144976i | −0.352313 | + | 0.0295931i | ||||
\(25\) | 1.23898 | − | 0.715324i | 0.247795 | − | 0.143065i | ||||
\(26\) | 2.69059 | − | 2.40016i | 0.527667 | − | 0.470709i | ||||
\(27\) | 4.47274 | + | 2.64473i | 0.860779 | + | 0.508979i | ||||
\(28\) | 0.749382 | + | 2.53741i | 0.141620 | + | 0.479525i | ||||
\(29\) | 2.36532i | 0.439230i | 0.975587 | + | 0.219615i | \(0.0704800\pi\) | ||||
−0.975587 | + | 0.219615i | \(0.929520\pi\) | |||||||
\(30\) | −0.579400 | + | 3.22061i | −0.105783 | + | 0.588001i | ||||
\(31\) | −2.00731 | + | 7.49138i | −0.360523 | + | 1.34549i | 0.512866 | + | 0.858469i | \(0.328584\pi\) |
−0.873389 | + | 0.487023i | \(0.838083\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 1.75276 | + | 2.52176i | 0.305117 | + | 0.438983i | ||||
\(34\) | 2.84869 | − | 2.84869i | 0.488545 | − | 0.488545i | ||||
\(35\) | 4.99694 | − | 0.126804i | 0.844637 | − | 0.0214338i | ||||
\(36\) | 1.91238 | + | 2.31145i | 0.318731 | + | 0.385241i | ||||
\(37\) | 1.92390 | + | 7.18011i | 0.316288 | + | 1.18040i | 0.922785 | + | 0.385316i | \(0.125908\pi\) |
−0.606497 | + | 0.795086i | \(0.707426\pi\) | |||||||
\(38\) | −1.65043 | − | 2.85864i | −0.267736 | − | 0.463732i | ||||
\(39\) | −6.07337 | − | 1.45403i | −0.972517 | − | 0.232832i | ||||
\(40\) | −0.944637 | + | 1.63616i | −0.149360 | + | 0.258699i | ||||
\(41\) | −1.16845 | + | 1.16845i | −0.182481 | + | 0.182481i | −0.792436 | − | 0.609955i | \(-0.791188\pi\) |
0.609955 | + | 0.792436i | \(0.291188\pi\) | |||||||
\(42\) | 2.86803 | − | 3.57413i | 0.442546 | − | 0.551500i | ||||
\(43\) | 1.15824i | 0.176630i | 0.996093 | + | 0.0883149i | \(0.0281482\pi\) | ||||
−0.996093 | + | 0.0883149i | \(0.971852\pi\) | |||||||
\(44\) | 0.458908 | + | 1.71267i | 0.0691829 | + | 0.258194i | ||||
\(45\) | 5.15327 | − | 2.35965i | 0.768204 | − | 0.351756i | ||||
\(46\) | 7.24839 | + | 1.94220i | 1.06872 | + | 0.286362i | ||||
\(47\) | 9.54491 | − | 2.55755i | 1.39227 | − | 0.373057i | 0.516706 | − | 0.856163i | \(-0.327158\pi\) |
0.875562 | + | 0.483106i | \(0.160491\pi\) | |||||||
\(48\) | 0.586751 | + | 1.62964i | 0.0846902 | + | 0.235218i | ||||
\(49\) | −6.23190 | − | 3.18802i | −0.890271 | − | 0.455432i | ||||
\(50\) | −1.01162 | − | 1.01162i | −0.143065 | − | 0.143065i | ||||
\(51\) | −6.86757 | − | 1.23550i | −0.961653 | − | 0.173005i | ||||
\(52\) | −3.01475 | − | 1.97770i | −0.418070 | − | 0.274258i | ||||
\(53\) | 8.17176 | − | 4.71797i | 1.12248 | − | 0.648063i | 0.180445 | − | 0.983585i | \(-0.442246\pi\) |
0.942032 | + | 0.335522i | \(0.108913\pi\) | |||||||
\(54\) | 1.39699 | − | 5.00484i | 0.190106 | − | 0.681073i | ||||
\(55\) | 3.34984 | 0.451692 | ||||||||
\(56\) | 2.25699 | − | 1.38058i | 0.301603 | − | 0.184487i | ||||
\(57\) | −2.43417 | + | 5.17320i | −0.322414 | + | 0.685207i | ||||
\(58\) | 2.28473 | − | 0.612191i | 0.299999 | − | 0.0803846i | ||||
\(59\) | 3.26848 | − | 12.1981i | 0.425520 | − | 1.58806i | −0.337265 | − | 0.941410i | \(-0.609502\pi\) |
0.762785 | − | 0.646652i | \(-0.223831\pi\) | |||||||
\(60\) | 3.26083 | − | 0.273899i | 0.420972 | − | 0.0353602i | ||||
\(61\) | −5.96460 | + | 10.3310i | −0.763689 | + | 1.32275i | 0.177249 | + | 0.984166i | \(0.443280\pi\) |
−0.940937 | + | 0.338581i | \(0.890053\pi\) | |||||||
\(62\) | 7.75565 | 0.984968 | ||||||||
\(63\) | −7.91846 | − | 0.545879i | −0.997632 | − | 0.0687742i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −5.08325 | + | 4.53455i | −0.630500 | + | 0.562442i | ||||
\(66\) | 1.98219 | − | 2.34572i | 0.243991 | − | 0.288738i | ||||
\(67\) | 2.84753 | − | 10.6271i | 0.347881 | − | 1.29831i | −0.541330 | − | 0.840810i | \(-0.682079\pi\) |
0.889211 | − | 0.457498i | \(-0.151254\pi\) | |||||||
\(68\) | −3.48891 | − | 2.01432i | −0.423093 | − | 0.244273i | ||||
\(69\) | −4.40303 | − | 12.2290i | −0.530062 | − | 1.47219i | ||||
\(70\) | −1.41579 | − | 4.79385i | −0.169219 | − | 0.572975i | ||||
\(71\) | 1.54553 | − | 1.54553i | 0.183421 | − | 0.183421i | −0.609424 | − | 0.792845i | \(-0.708599\pi\) |
0.792845 | + | 0.609424i | \(0.208599\pi\) | |||||||
\(72\) | 1.73773 | − | 2.44547i | 0.204793 | − | 0.288201i | ||||
\(73\) | −1.64132 | − | 0.439791i | −0.192102 | − | 0.0514736i | 0.161485 | − | 0.986875i | \(-0.448372\pi\) |
−0.353587 | + | 0.935402i | \(0.615038\pi\) | |||||||
\(74\) | 6.43751 | − | 3.71670i | 0.748345 | − | 0.432057i | ||||
\(75\) | −0.438749 | + | 2.43880i | −0.0506624 | + | 0.281609i | ||||
\(76\) | −2.33407 | + | 2.33407i | −0.267736 | + | 0.267736i | ||||
\(77\) | −4.12084 | − | 2.24175i | −0.469613 | − | 0.255471i | ||||
\(78\) | 0.167415 | + | 6.24275i | 0.0189560 | + | 0.706853i | ||||
\(79\) | −3.34611 | + | 5.79563i | −0.376467 | + | 0.652059i | −0.990545 | − | 0.137185i | \(-0.956194\pi\) |
0.614079 | + | 0.789245i | \(0.289528\pi\) | |||||||
\(80\) | 1.82490 | + | 0.488980i | 0.204030 | + | 0.0546696i | ||||
\(81\) | −8.49910 | + | 2.96062i | −0.944345 | + | 0.328958i | ||||
\(82\) | 1.43105 | + | 0.826218i | 0.158033 | + | 0.0912405i | ||||
\(83\) | 4.17139 | − | 4.17139i | 0.457869 | − | 0.457869i | −0.440086 | − | 0.897956i | \(-0.645052\pi\) |
0.897956 | + | 0.440086i | \(0.145052\pi\) | |||||||
\(84\) | −4.19465 | − | 1.84525i | −0.457673 | − | 0.201333i | ||||
\(85\) | −5.38194 | + | 5.38194i | −0.583754 | + | 0.583754i | ||||
\(86\) | 1.11877 | − | 0.299774i | 0.120640 | − | 0.0323255i | ||||
\(87\) | −3.12923 | − | 2.64427i | −0.335489 | − | 0.283496i | ||||
\(88\) | 1.53553 | − | 0.886542i | 0.163689 | − | 0.0945056i | ||||
\(89\) | −3.18631 | + | 0.853770i | −0.337748 | + | 0.0904994i | −0.423707 | − | 0.905799i | \(-0.639271\pi\) |
0.0859586 | + | 0.996299i | \(0.472605\pi\) | |||||||
\(90\) | −3.61301 | − | 4.36696i | −0.380845 | − | 0.460318i | ||||
\(91\) | 9.28779 | − | 2.17645i | 0.973625 | − | 0.228154i | ||||
\(92\) | − | 7.50409i | − | 0.782355i | ||||||
\(93\) | −7.66676 | − | 11.0305i | −0.795006 | − | 1.14380i | ||||
\(94\) | −4.94081 | − | 8.55773i | −0.509605 | − | 0.882662i | ||||
\(95\) | 3.11812 | + | 5.40074i | 0.319912 | + | 0.554105i | ||||
\(96\) | 1.42225 | − | 0.988539i | 0.145158 | − | 0.100892i | ||||
\(97\) | 5.14678 | + | 5.14678i | 0.522576 | + | 0.522576i | 0.918349 | − | 0.395772i | \(-0.129523\pi\) |
−0.395772 | + | 0.918349i | \(0.629523\pi\) | |||||||
\(98\) | −1.46646 | + | 6.84467i | −0.148135 | + | 0.691416i | ||||
\(99\) | −5.29567 | − | 0.500330i | −0.532234 | − | 0.0502851i | ||||
\(100\) | −0.715324 | + | 1.23898i | −0.0715324 | + | 0.123898i | ||||
\(101\) | 1.23524 | + | 2.13950i | 0.122911 | + | 0.212888i | 0.920914 | − | 0.389765i | \(-0.127444\pi\) |
−0.798003 | + | 0.602653i | \(0.794110\pi\) | |||||||
\(102\) | 0.584057 | + | 6.95334i | 0.0578303 | + | 0.688483i | ||||
\(103\) | −2.64117 | − | 1.52488i | −0.260242 | − | 0.150251i | 0.364203 | − | 0.931320i | \(-0.381341\pi\) |
−0.624445 | + | 0.781069i | \(0.714675\pi\) | |||||||
\(104\) | −1.13004 | + | 3.42389i | −0.110809 | + | 0.335740i | ||||
\(105\) | −5.41849 | + | 6.75251i | −0.528790 | + | 0.658978i | ||||
\(106\) | −6.67222 | − | 6.67222i | −0.648063 | − | 0.648063i | ||||
\(107\) | −13.5598 | − | 7.82877i | −1.31088 | − | 0.756836i | −0.328636 | − | 0.944457i | \(-0.606589\pi\) |
−0.982242 | + | 0.187621i | \(0.939922\pi\) | |||||||
\(108\) | −5.19587 | − | 0.0540370i | −0.499973 | − | 0.00519971i | ||||
\(109\) | −1.30934 | + | 4.88654i | −0.125412 | + | 0.468045i | −0.999854 | − | 0.0170853i | \(-0.994561\pi\) |
0.874442 | + | 0.485131i | \(0.161228\pi\) | |||||||
\(110\) | −0.867002 | − | 3.23570i | −0.0826654 | − | 0.308511i | ||||
\(111\) | −11.6498 | − | 5.48163i | −1.10575 | − | 0.520294i | ||||
\(112\) | −1.91769 | − | 1.82277i | −0.181204 | − | 0.172235i | ||||
\(113\) | 10.8278i | 1.01859i | 0.860592 | + | 0.509296i | \(0.170094\pi\) | ||||
−0.860592 | + | 0.509296i | \(0.829906\pi\) | |||||||
\(114\) | 5.62694 | + | 1.01231i | 0.527011 | + | 0.0948111i | ||||
\(115\) | −13.6942 | − | 3.66935i | −1.27699 | − | 0.342168i | ||||
\(116\) | −1.18266 | − | 2.04843i | −0.109807 | − | 0.190192i | ||||
\(117\) | 8.71325 | − | 6.40931i | 0.805540 | − | 0.592541i | ||||
\(118\) | −12.6284 | −1.16254 | ||||||||
\(119\) | 10.2223 | − | 3.01900i | 0.937078 | − | 0.276751i | ||||
\(120\) | −1.10853 | − | 3.07883i | −0.101195 | − | 0.281058i | ||||
\(121\) | 6.80365 | + | 3.92809i | 0.618513 | + | 0.357099i | ||||
\(122\) | 11.5227 | + | 3.08750i | 1.04322 | + | 0.279529i | ||||
\(123\) | −0.239563 | − | 2.85206i | −0.0216007 | − | 0.257162i | ||||
\(124\) | −2.00731 | − | 7.49138i | −0.180262 | − | 0.672746i | ||||
\(125\) | 8.59082 | + | 8.59082i | 0.768386 | + | 0.768386i | ||||
\(126\) | 1.52217 | + | 7.78993i | 0.135606 | + | 0.693982i | ||||
\(127\) | − | 19.2052i | − | 1.70419i | −0.523390 | − | 0.852093i | \(-0.675333\pi\) | ||
0.523390 | − | 0.852093i | \(-0.324667\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −1.53231 | − | 1.29483i | −0.134912 | − | 0.114004i | ||||
\(130\) | 5.69568 | + | 3.73642i | 0.499544 | + | 0.327705i | ||||
\(131\) | 3.71710 | + | 2.14607i | 0.324764 | + | 0.187503i | 0.653514 | − | 0.756914i | \(-0.273294\pi\) |
−0.328750 | + | 0.944417i | \(0.606627\pi\) | |||||||
\(132\) | −2.77882 | − | 1.30753i | −0.241865 | − | 0.113806i | ||||
\(133\) | −0.221548 | − | 8.73047i | −0.0192106 | − | 0.757027i | ||||
\(134\) | −11.0020 | −0.950428 | ||||||||
\(135\) | −2.63929 | + | 9.45551i | −0.227154 | + | 0.813801i | ||||
\(136\) | −1.04269 | + | 3.89138i | −0.0894100 | + | 0.333683i | ||||
\(137\) | −1.73161 | + | 6.46244i | −0.147941 | + | 0.552124i | 0.851666 | + | 0.524085i | \(0.175593\pi\) |
−0.999607 | + | 0.0280384i | \(0.991074\pi\) | |||||||
\(138\) | −10.6727 | + | 7.41808i | −0.908518 | + | 0.631469i | ||||
\(139\) | 12.9517 | 1.09855 | 0.549275 | − | 0.835642i | \(-0.314904\pi\) | ||||
0.549275 | + | 0.835642i | \(0.314904\pi\) | |||||||
\(140\) | −4.26407 | + | 2.60828i | −0.360380 | + | 0.220440i | ||||
\(141\) | −7.28703 | + | 15.4867i | −0.613679 | + | 1.30422i | ||||
\(142\) | −1.89288 | − | 1.09285i | −0.158847 | − | 0.0917103i | ||||
\(143\) | 6.25933 | − | 1.30021i | 0.523431 | − | 0.108729i | ||||
\(144\) | −2.81190 | − | 1.04558i | −0.234325 | − | 0.0871317i | ||||
\(145\) | −4.31647 | + | 1.15660i | −0.358464 | + | 0.0960500i | ||||
\(146\) | 1.69922i | 0.140629i | ||||||||
\(147\) | 11.1845 | − | 4.68056i | 0.922480 | − | 0.386046i | ||||
\(148\) | −5.25620 | − | 5.25620i | −0.432057 | − | 0.432057i | ||||
\(149\) | −0.448629 | − | 1.67431i | −0.0367531 | − | 0.137165i | 0.945111 | − | 0.326748i | \(-0.105953\pi\) |
−0.981865 | + | 0.189584i | \(0.939286\pi\) | |||||||
\(150\) | 2.46926 | − | 0.207409i | 0.201614 | − | 0.0169349i | ||||
\(151\) | 5.08300 | + | 1.36199i | 0.413648 | + | 0.110837i | 0.459641 | − | 0.888105i | \(-0.347978\pi\) |
−0.0459921 | + | 0.998942i | \(0.514645\pi\) | |||||||
\(152\) | 2.85864 | + | 1.65043i | 0.231866 | + | 0.133868i | ||||
\(153\) | 9.31201 | − | 7.70432i | 0.752831 | − | 0.622858i | ||||
\(154\) | −1.09881 | + | 4.56063i | −0.0885449 | + | 0.367506i | ||||
\(155\) | −14.6525 | −1.17692 | ||||||||
\(156\) | 5.98671 | − | 1.77745i | 0.479320 | − | 0.142310i | ||||
\(157\) | −9.16996 | − | 15.8828i | −0.731843 | − | 1.26759i | −0.956095 | − | 0.293057i | \(-0.905327\pi\) |
0.224252 | − | 0.974531i | \(-0.428006\pi\) | |||||||
\(158\) | 6.46419 | + | 1.73207i | 0.514263 | + | 0.137796i | ||||
\(159\) | −2.89380 | + | 16.0853i | −0.229493 | + | 1.27565i | ||||
\(160\) | − | 1.88927i | − | 0.149360i | ||||||
\(161\) | 14.3905 | + | 13.6782i | 1.13413 | + | 1.07799i | ||||
\(162\) | 5.05947 | + | 7.44324i | 0.397509 | + | 0.584796i | ||||
\(163\) | 4.39704 | + | 16.4100i | 0.344403 | + | 1.28533i | 0.893308 | + | 0.449444i | \(0.148378\pi\) |
−0.548906 | + | 0.835884i | \(0.684955\pi\) | |||||||
\(164\) | 0.427682 | − | 1.59613i | 0.0333964 | − | 0.124637i | ||||
\(165\) | −3.74490 | + | 4.43170i | −0.291540 | + | 0.345008i | ||||
\(166\) | −5.10889 | − | 2.94962i | −0.396527 | − | 0.228935i | ||||
\(167\) | −7.54305 | − | 7.54305i | −0.583698 | − | 0.583698i | 0.352219 | − | 0.935918i | \(-0.385427\pi\) |
−0.935918 | + | 0.352219i | \(0.885427\pi\) | |||||||
\(168\) | −0.696719 | + | 4.52930i | −0.0537531 | + | 0.349443i | ||||
\(169\) | −7.73825 | + | 10.4460i | −0.595250 | + | 0.803541i | ||||
\(170\) | 6.59151 | + | 3.80561i | 0.505546 | + | 0.291877i | ||||
\(171\) | −4.12270 | − | 9.00361i | −0.315271 | − | 0.688523i | ||||
\(172\) | −0.579120 | − | 1.00306i | −0.0441575 | − | 0.0764830i | ||||
\(173\) | 7.40149 | − | 12.8198i | 0.562725 | − | 0.974668i | −0.434533 | − | 0.900656i | \(-0.643086\pi\) |
0.997257 | − | 0.0740116i | \(-0.0235802\pi\) | |||||||
\(174\) | −1.74427 | + | 3.70699i | −0.132233 | + | 0.281026i | ||||
\(175\) | −1.07210 | − | 3.63013i | −0.0810432 | − | 0.274412i | ||||
\(176\) | −1.25376 | − | 1.25376i | −0.0945056 | − | 0.0945056i | ||||
\(177\) | 12.4837 | + | 17.9608i | 0.938333 | + | 1.35001i | ||||
\(178\) | 1.64936 | + | 2.85677i | 0.123624 | + | 0.214124i | ||||
\(179\) | −9.29037 | − | 16.0914i | −0.694395 | − | 1.20273i | −0.970384 | − | 0.241567i | \(-0.922339\pi\) |
0.275989 | − | 0.961161i | \(-0.410995\pi\) | |||||||
\(180\) | −3.28304 | + | 4.62016i | −0.244703 | + | 0.344366i | ||||
\(181\) | − | 19.2547i | − | 1.43119i | −0.698515 | − | 0.715595i | \(-0.746156\pi\) | ||
0.698515 | − | 0.715595i | \(-0.253844\pi\) | |||||||
\(182\) | −4.50615 | − | 8.40801i | −0.334018 | − | 0.623243i | ||||
\(183\) | −6.99946 | − | 19.4403i | −0.517415 | − | 1.43707i | ||||
\(184\) | −7.24839 | + | 1.94220i | −0.534358 | + | 0.143181i | ||||
\(185\) | −12.1622 | + | 7.02186i | −0.894183 | + | 0.516257i | ||||
\(186\) | −8.67030 | + | 10.2604i | −0.635737 | + | 0.752330i | ||||
\(187\) | 6.89973 | − | 1.84878i | 0.504558 | − | 0.135196i | ||||
\(188\) | −6.98736 | + | 6.98736i | −0.509605 | + | 0.509605i | ||||
\(189\) | 9.57449 | − | 9.86555i | 0.696442 | − | 0.717613i | ||||
\(190\) | 4.40969 | − | 4.40969i | 0.319912 | − | 0.319912i | ||||
\(191\) | −13.2016 | − | 7.62196i | −0.955236 | − | 0.551506i | −0.0605325 | − | 0.998166i | \(-0.519280\pi\) |
−0.894704 | + | 0.446660i | \(0.852613\pi\) | |||||||
\(192\) | −1.32296 | − | 1.11793i | −0.0954764 | − | 0.0806799i | ||||
\(193\) | −20.2766 | − | 5.43309i | −1.45954 | − | 0.391083i | −0.560209 | − | 0.828351i | \(-0.689279\pi\) |
−0.899331 | + | 0.437269i | \(0.855946\pi\) | |||||||
\(194\) | 3.63932 | − | 6.30349i | 0.261288 | − | 0.452565i | ||||
\(195\) | −0.316293 | − | 11.7943i | −0.0226502 | − | 0.844605i | ||||
\(196\) | 6.99099 | − | 0.355041i | 0.499356 | − | 0.0253601i | ||||
\(197\) | 7.65448 | − | 7.65448i | 0.545359 | − | 0.545359i | −0.379736 | − | 0.925095i | \(-0.623985\pi\) |
0.925095 | + | 0.379736i | \(0.123985\pi\) | |||||||
\(198\) | 0.887338 | + | 5.24472i | 0.0630603 | + | 0.372726i | ||||
\(199\) | −10.0996 | + | 5.83099i | −0.715940 | + | 0.413348i | −0.813257 | − | 0.581905i | \(-0.802307\pi\) |
0.0973164 | + | 0.995253i | \(0.468974\pi\) | |||||||
\(200\) | 1.38190 | + | 0.370279i | 0.0977150 | + | 0.0261827i | ||||
\(201\) | 10.8759 | + | 15.6476i | 0.767127 | + | 1.10369i | ||||
\(202\) | 1.74689 | − | 1.74689i | 0.122911 | − | 0.122911i | ||||
\(203\) | 6.08396 | + | 1.46584i | 0.427011 | + | 0.102882i | ||||
\(204\) | 6.56524 | − | 2.36381i | 0.459659 | − | 0.165500i | ||||
\(205\) | −2.70365 | − | 1.56095i | −0.188831 | − | 0.109022i | ||||
\(206\) | −0.789336 | + | 2.94584i | −0.0549957 | + | 0.205247i | ||||
\(207\) | 21.1007 | + | 7.84613i | 1.46660 | + | 0.545343i | ||||
\(208\) | 3.59970 | + | 0.205365i | 0.249594 | + | 0.0142395i | ||||
\(209\) | − | 5.85271i | − | 0.404841i | ||||||
\(210\) | 7.92483 | + | 3.48618i | 0.546865 | + | 0.240569i | ||||
\(211\) | 9.45867 | 0.651162 | 0.325581 | − | 0.945514i | \(-0.394440\pi\) | ||||
0.325581 | + | 0.945514i | \(0.394440\pi\) | |||||||
\(212\) | −4.71797 | + | 8.17176i | −0.324031 | + | 0.561239i | ||||
\(213\) | 0.316875 | + | 3.77247i | 0.0217119 | + | 0.258486i | ||||
\(214\) | −4.05247 | + | 15.1240i | −0.277021 | + | 1.03386i | ||||
\(215\) | −2.11367 | + | 0.566356i | −0.144151 | + | 0.0386251i | ||||
\(216\) | 1.29259 | + | 5.03281i | 0.0879499 | + | 0.342439i | ||||
\(217\) | 18.0250 | + | 9.80565i | 1.22361 | + | 0.665651i | ||||
\(218\) | 5.05892 | 0.342633 | ||||||||
\(219\) | 2.41671 | − | 1.67975i | 0.163306 | − | 0.113507i | ||||
\(220\) | −2.90104 | + | 1.67492i | −0.195588 | + | 0.112923i | ||||
\(221\) | −7.96746 | + | 12.1454i | −0.535949 | + | 0.816985i | ||||
\(222\) | −2.27966 | + | 12.6716i | −0.153001 | + | 0.850461i | ||||
\(223\) | 8.24792 | + | 8.24792i | 0.552321 | + | 0.552321i | 0.927110 | − | 0.374789i | \(-0.122285\pi\) |
−0.374789 | + | 0.927110i | \(0.622285\pi\) | |||||||
\(224\) | −1.26432 | + | 2.32411i | −0.0844762 | + | 0.155286i | ||||
\(225\) | −2.73595 | − | 3.30687i | −0.182396 | − | 0.220458i | ||||
\(226\) | 10.4588 | − | 2.80243i | 0.695711 | − | 0.186415i | ||||
\(227\) | −8.97401 | − | 2.40458i | −0.595626 | − | 0.159597i | −0.0516026 | − | 0.998668i | \(-0.516433\pi\) |
−0.544023 | + | 0.839070i | \(0.683100\pi\) | |||||||
\(228\) | −0.478546 | − | 5.69721i | −0.0316925 | − | 0.377307i | ||||
\(229\) | −5.17964 | − | 19.3307i | −0.342281 | − | 1.27741i | −0.895757 | − | 0.444544i | \(-0.853366\pi\) |
0.553477 | − | 0.832865i | \(-0.313301\pi\) | |||||||
\(230\) | 14.1773i | 0.934821i | ||||||||
\(231\) | 7.57257 | − | 2.94558i | 0.498239 | − | 0.193805i | ||||
\(232\) | −1.67254 | + | 1.67254i | −0.109807 | + | 0.109807i | ||||
\(233\) | 11.6047 | − | 20.0999i | 0.760248 | − | 1.31679i | −0.182475 | − | 0.983210i | \(-0.558411\pi\) |
0.942723 | − | 0.333577i | \(-0.108256\pi\) | |||||||
\(234\) | −8.44608 | − | 6.75750i | −0.552137 | − | 0.441752i | ||||
\(235\) | 9.33453 | + | 16.1679i | 0.608918 | + | 1.05468i | ||||
\(236\) | 3.26848 | + | 12.1981i | 0.212760 | + | 0.794031i | ||||
\(237\) | −3.92666 | − | 10.9059i | −0.255064 | − | 0.708414i | ||||
\(238\) | −5.56186 | − | 9.09263i | −0.360522 | − | 0.589387i | ||||
\(239\) | −5.31141 | + | 5.31141i | −0.343567 | + | 0.343567i | −0.857706 | − | 0.514140i | \(-0.828111\pi\) |
0.514140 | + | 0.857706i | \(0.328111\pi\) | |||||||
\(240\) | −2.68702 | + | 1.86762i | −0.173446 | + | 0.120554i | ||||
\(241\) | −20.2823 | − | 5.43462i | −1.30650 | − | 0.350075i | −0.462594 | − | 0.886570i | \(-0.653081\pi\) |
−0.843903 | + | 0.536496i | \(0.819748\pi\) | |||||||
\(242\) | 2.03333 | − | 7.58848i | 0.130707 | − | 0.487806i | ||||
\(243\) | 5.58465 | − | 14.5538i | 0.358255 | − | 0.933624i | ||||
\(244\) | − | 11.9292i | − | 0.763689i | ||||||
\(245\) | 2.77054 | − | 12.9314i | 0.177003 | − | 0.826160i | ||||
\(246\) | −2.69288 | + | 0.969568i | −0.171691 | + | 0.0618174i | ||||
\(247\) | 7.92260 | + | 8.88127i | 0.504103 | + | 0.565102i | ||||
\(248\) | −6.71659 | + | 3.87782i | −0.426504 | + | 0.246242i | ||||
\(249\) | 0.855247 | + | 10.1819i | 0.0541991 | + | 0.645253i | ||||
\(250\) | 6.07462 | − | 10.5216i | 0.384193 | − | 0.665442i | ||||
\(251\) | 2.44319 | 0.154213 | 0.0771063 | − | 0.997023i | \(-0.475432\pi\) | ||||
0.0771063 | + | 0.997023i | \(0.475432\pi\) | |||||||
\(252\) | 7.13053 | − | 3.48649i | 0.449181 | − | 0.219628i | ||||
\(253\) | 9.40832 | + | 9.40832i | 0.591496 | + | 0.591496i | ||||
\(254\) | −18.5508 | + | 4.97067i | −1.16398 | + | 0.311888i | ||||
\(255\) | −1.10344 | − | 13.1368i | −0.0691003 | − | 0.822656i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.17304 | + | 3.76382i | −0.135551 | + | 0.234780i | −0.925808 | − | 0.377995i | \(-0.876614\pi\) |
0.790257 | + | 0.612775i | \(0.209947\pi\) | |||||||
\(258\) | −0.854125 | + | 1.81522i | −0.0531755 | + | 0.113011i | ||||
\(259\) | 19.6606 | − | 0.498915i | 1.22165 | − | 0.0310011i | ||||
\(260\) | 2.13495 | − | 6.46866i | 0.132404 | − | 0.401169i | ||||
\(261\) | 6.99654 | − | 1.18372i | 0.433075 | − | 0.0732707i | ||||
\(262\) | 1.11089 | − | 4.14588i | 0.0686308 | − | 0.256134i | ||||
\(263\) | 9.85510 | − | 5.68984i | 0.607691 | − | 0.350851i | −0.164370 | − | 0.986399i | \(-0.552559\pi\) |
0.772061 | + | 0.635548i | \(0.219226\pi\) | |||||||
\(264\) | −0.543767 | + | 3.02255i | −0.0334665 | + | 0.186025i | ||||
\(265\) | 12.6056 | + | 12.6056i | 0.774358 | + | 0.774358i | ||||
\(266\) | −8.37564 | + | 2.47361i | −0.513544 | + | 0.151667i | ||||
\(267\) | 2.43258 | − | 5.16982i | 0.148872 | − | 0.316388i | ||||
\(268\) | 2.84753 | + | 10.6271i | 0.173940 | + | 0.649154i | ||||
\(269\) | −18.3630 | + | 10.6019i | −1.11961 | + | 0.646408i | −0.941302 | − | 0.337566i | \(-0.890396\pi\) |
−0.178310 | + | 0.983974i | \(0.557063\pi\) | |||||||
\(270\) | 9.81642 | + | 0.102091i | 0.597408 | + | 0.00621304i | ||||
\(271\) | 3.82897 | + | 14.2899i | 0.232594 | + | 0.868051i | 0.979219 | + | 0.202806i | \(0.0650061\pi\) |
−0.746625 | + | 0.665245i | \(0.768327\pi\) | |||||||
\(272\) | 4.02865 | 0.244273 | ||||||||
\(273\) | −7.50377 | + | 14.7205i | −0.454149 | + | 0.890926i | ||||
\(274\) | 6.69041 | 0.404183 | ||||||||
\(275\) | −0.656535 | − | 2.45022i | −0.0395905 | − | 0.147754i | ||||
\(276\) | 9.92761 | + | 8.38907i | 0.597572 | + | 0.504963i | ||||
\(277\) | 17.8363 | − | 10.2978i | 1.07168 | − | 0.618735i | 0.143040 | − | 0.989717i | \(-0.454312\pi\) |
0.928640 | + | 0.370982i | \(0.120979\pi\) | |||||||
\(278\) | −3.35215 | − | 12.5104i | −0.201049 | − | 0.750323i | ||||
\(279\) | 23.1638 | + | 2.18849i | 1.38678 | + | 0.131022i | ||||
\(280\) | 3.62303 | + | 3.44370i | 0.216518 | + | 0.205801i | ||||
\(281\) | −8.00943 | − | 8.00943i | −0.477803 | − | 0.477803i | 0.426626 | − | 0.904428i | \(-0.359702\pi\) |
−0.904428 | + | 0.426626i | \(0.859702\pi\) | |||||||
\(282\) | 16.8450 | + | 3.03048i | 1.00311 | + | 0.180462i | ||||
\(283\) | −1.97537 | + | 1.14048i | −0.117423 | + | 0.0677945i | −0.557561 | − | 0.830136i | \(-0.688263\pi\) |
0.440138 | + | 0.897930i | \(0.354930\pi\) | |||||||
\(284\) | −0.565703 | + | 2.11123i | −0.0335683 | + | 0.125279i | ||||
\(285\) | −10.6308 | − | 1.91252i | −0.629716 | − | 0.113288i | ||||
\(286\) | −2.87594 | − | 5.70953i | −0.170058 | − | 0.337611i | ||||
\(287\) | 2.28131 | + | 3.72954i | 0.134662 | + | 0.220148i | ||||
\(288\) | −0.282181 | + | 2.98670i | −0.0166277 | + | 0.175993i | ||||
\(289\) | 0.384992 | − | 0.666826i | 0.0226466 | − | 0.0392251i | ||||
\(290\) | 2.23437 | + | 3.87004i | 0.131207 | + | 0.227257i | ||||
\(291\) | −12.5627 | + | 1.05523i | −0.736441 | + | 0.0618586i | ||||
\(292\) | 1.64132 | − | 0.439791i | 0.0960511 | − | 0.0257368i | ||||
\(293\) | 19.4879 | + | 19.4879i | 1.13850 | + | 1.13850i | 0.988720 | + | 0.149775i | \(0.0478550\pi\) |
0.149775 | + | 0.988720i | \(0.452145\pi\) | |||||||
\(294\) | −7.41582 | − | 9.59195i | −0.432500 | − | 0.559414i | ||||
\(295\) | 23.8586 | 1.38910 | ||||||||
\(296\) | −3.71670 | + | 6.43751i | −0.216029 | + | 0.374173i | ||||
\(297\) | 6.58212 | − | 6.44662i | 0.381933 | − | 0.374071i | ||||
\(298\) | −1.50114 | + | 0.866685i | −0.0869589 | + | 0.0502057i | ||||
\(299\) | −27.0124 | − | 1.54108i | −1.56217 | − | 0.0891227i | ||||
\(300\) | −0.839433 | − | 2.33144i | −0.0484647 | − | 0.134606i | ||||
\(301\) | 2.97916 | + | 0.717784i | 0.171716 | + | 0.0413724i | ||||
\(302\) | − | 5.26231i | − | 0.302812i | ||||||
\(303\) | −4.21139 | − | 0.757644i | −0.241938 | − | 0.0435255i | ||||
\(304\) | 0.854328 | − | 3.18839i | 0.0489990 | − | 0.182867i | ||||
\(305\) | −21.7696 | − | 5.83314i | −1.24652 | − | 0.334004i | ||||
\(306\) | −9.85193 | − | 7.00069i | −0.563197 | − | 0.400203i | ||||
\(307\) | 4.22431 | − | 4.22431i | 0.241094 | − | 0.241094i | −0.576209 | − | 0.817303i | \(-0.695468\pi\) |
0.817303 | + | 0.576209i | \(0.195468\pi\) | |||||||
\(308\) | 4.68963 | − | 0.119006i | 0.267216 | − | 0.00678099i | ||||
\(309\) | 4.97001 | − | 1.78945i | 0.282734 | − | 0.101798i | ||||
\(310\) | 3.79235 | + | 14.1533i | 0.215391 | + | 0.803851i | ||||
\(311\) | −1.39800 | − | 2.42141i | −0.0792733 | − | 0.137305i | 0.823663 | − | 0.567079i | \(-0.191927\pi\) |
−0.902937 | + | 0.429774i | \(0.858593\pi\) | |||||||
\(312\) | −3.26636 | − | 5.32268i | −0.184921 | − | 0.301337i | ||||
\(313\) | 4.51429 | − | 7.81899i | 0.255163 | − | 0.441955i | −0.709777 | − | 0.704427i | \(-0.751204\pi\) |
0.964940 | + | 0.262471i | \(0.0845375\pi\) | |||||||
\(314\) | −12.9683 | + | 12.9683i | −0.731843 | + | 0.731843i | ||||
\(315\) | −2.87580 | − | 14.7173i | −0.162033 | − | 0.829226i | ||||
\(316\) | − | 6.69222i | − | 0.376467i | ||||||
\(317\) | 1.80507 | + | 6.73660i | 0.101383 | + | 0.378365i | 0.997910 | − | 0.0646238i | \(-0.0205847\pi\) |
−0.896527 | + | 0.442989i | \(0.853918\pi\) | |||||||
\(318\) | 16.2862 | − | 1.36798i | 0.913283 | − | 0.0767127i | ||||
\(319\) | 4.05101 | + | 1.08547i | 0.226813 | + | 0.0607744i | ||||
\(320\) | −1.82490 | + | 0.488980i | −0.102015 | + | 0.0273348i | ||||
\(321\) | 25.5161 | − | 9.18707i | 1.42417 | − | 0.512772i | ||||
\(322\) | 9.48760 | − | 17.4403i | 0.528723 | − | 0.971911i | ||||
\(323\) | 9.40313 | + | 9.40313i | 0.523204 | + | 0.523204i | ||||
\(324\) | 5.88013 | − | 6.81352i | 0.326674 | − | 0.378529i | ||||
\(325\) | 4.31304 | + | 2.82939i | 0.239244 | + | 0.156946i | ||||
\(326\) | 14.7128 | − | 8.49443i | 0.814865 | − | 0.470463i | ||||
\(327\) | −5.00094 | − | 7.19504i | −0.276552 | − | 0.397886i | ||||
\(328\) | −1.65244 | −0.0912405 | ||||||||
\(329\) | −0.663235 | − | 26.1359i | −0.0365653 | − | 1.44092i | ||||
\(330\) | 5.24995 | + | 2.47028i | 0.289000 | + | 0.135985i | ||||
\(331\) | −13.8388 | + | 3.70810i | −0.760650 | + | 0.203816i | −0.618237 | − | 0.785992i | \(-0.712153\pi\) |
−0.142413 | + | 0.989807i | \(0.545486\pi\) | |||||||
\(332\) | −1.52683 | + | 5.69822i | −0.0837959 | + | 0.312731i | ||||
\(333\) | 20.2757 | − | 9.28412i | 1.11110 | − | 0.508766i | ||||
\(334\) | −5.33374 | + | 9.23831i | −0.291849 | + | 0.505498i | ||||
\(335\) | 20.7858 | 1.13565 | ||||||||
\(336\) | 4.55529 | − | 0.499291i | 0.248512 | − | 0.0272385i | ||||
\(337\) | 1.28563i | 0.0700326i | 0.999387 | + | 0.0350163i | \(0.0111483\pi\) | ||||
−0.999387 | + | 0.0350163i | \(0.988852\pi\) | |||||||
\(338\) | 12.0929 | + | 4.77094i | 0.657767 | + | 0.259505i | ||||
\(339\) | −14.3247 | − | 12.1047i | −0.778012 | − | 0.657439i | ||||
\(340\) | 1.96993 | − | 7.35187i | 0.106834 | − | 0.398711i | ||||
\(341\) | 11.9091 | + | 6.87570i | 0.644912 | + | 0.372340i | ||||
\(342\) | −7.62978 | + | 6.31253i | −0.412571 | + | 0.341342i | ||||
\(343\) | −12.0621 | + | 14.0537i | −0.651292 | + | 0.758828i | ||||
\(344\) | −0.818999 | + | 0.818999i | −0.0441575 | + | 0.0441575i | ||||
\(345\) | 20.1636 | − | 14.0148i | 1.08557 | − | 0.754531i | ||||
\(346\) | −14.2986 | − | 3.83129i | −0.768696 | − | 0.205972i | ||||
\(347\) | −18.9998 | + | 10.9696i | −1.01997 | + | 0.588877i | −0.914094 | − | 0.405503i | \(-0.867096\pi\) |
−0.105871 | + | 0.994380i | \(0.533763\pi\) | |||||||
\(348\) | 4.03213 | + | 0.725394i | 0.216145 | + | 0.0388852i | ||||
\(349\) | −17.9380 | + | 17.9380i | −0.960198 | + | 0.960198i | −0.999238 | − | 0.0390397i | \(-0.987570\pi\) |
0.0390397 | + | 0.999238i | \(0.487570\pi\) | |||||||
\(350\) | −3.22896 | + | 1.97512i | −0.172595 | + | 0.105574i | ||||
\(351\) | −1.26157 | + | 18.6925i | −0.0673374 | + | 0.997730i | ||||
\(352\) | −0.886542 | + | 1.53553i | −0.0472528 | + | 0.0818443i | ||||
\(353\) | 22.1994 | + | 5.94830i | 1.18155 | + | 0.316596i | 0.795542 | − | 0.605898i | \(-0.207186\pi\) |
0.386011 | + | 0.922494i | \(0.373853\pi\) | |||||||
\(354\) | 14.1178 | − | 16.7069i | 0.750350 | − | 0.887963i | ||||
\(355\) | 3.57617 | + | 2.06470i | 0.189803 | + | 0.109583i | ||||
\(356\) | 2.33254 | − | 2.33254i | 0.123624 | − | 0.123624i | ||||
\(357\) | −7.43386 | + | 16.8988i | −0.393442 | + | 0.894377i | ||||
\(358\) | −13.1386 | + | 13.1386i | −0.694395 | + | 0.694395i | ||||
\(359\) | −20.5205 | + | 5.49845i | −1.08303 | + | 0.290197i | −0.755836 | − | 0.654761i | \(-0.772769\pi\) |
−0.327193 | + | 0.944957i | \(0.606103\pi\) | |||||||
\(360\) | 5.31244 | + | 1.97539i | 0.279990 | + | 0.104112i | ||||
\(361\) | −7.01850 | + | 4.05213i | −0.369395 | + | 0.213270i | ||||
\(362\) | −18.5986 | + | 4.98348i | −0.977521 | + | 0.261926i | ||||
\(363\) | −12.8027 | + | 4.60962i | −0.671969 | + | 0.241942i | ||||
\(364\) | −6.95524 | + | 6.52876i | −0.364553 | + | 0.342200i | ||||
\(365\) | − | 3.21029i | − | 0.168034i | ||||||
\(366\) | −16.9663 | + | 11.7925i | −0.886842 | + | 0.616403i | ||||
\(367\) | 12.2557 | + | 21.2274i | 0.639740 | + | 1.10806i | 0.985490 | + | 0.169735i | \(0.0542913\pi\) |
−0.345750 | + | 0.938327i | \(0.612375\pi\) | |||||||
\(368\) | 3.75204 | + | 6.49873i | 0.195589 | + | 0.338770i | ||||
\(369\) | 4.04098 | + | 2.87148i | 0.210365 | + | 0.149483i | ||||
\(370\) | 9.93040 | + | 9.93040i | 0.516257 | + | 0.516257i | ||||
\(371\) | −7.07112 | − | 23.9428i | −0.367114 | − | 1.24305i | ||||
\(372\) | 12.1548 | + | 5.71927i | 0.630199 | + | 0.296531i | ||||
\(373\) | 8.95144 | − | 15.5044i | 0.463488 | − | 0.802785i | −0.535644 | − | 0.844444i | \(-0.679931\pi\) |
0.999132 | + | 0.0416590i | \(0.0132643\pi\) | |||||||
\(374\) | −3.57156 | − | 6.18613i | −0.184681 | − | 0.319877i | ||||
\(375\) | −20.9693 | + | 1.76135i | −1.08285 | + | 0.0909556i | ||||
\(376\) | 8.55773 | + | 4.94081i | 0.441331 | + | 0.254803i | ||||
\(377\) | −7.61661 | + | 3.83655i | −0.392275 | + | 0.197592i | ||||
\(378\) | −12.0075 | − | 6.69485i | −0.617597 | − | 0.344346i | ||||
\(379\) | −18.5922 | − | 18.5922i | −0.955019 | − | 0.955019i | 0.0440116 | − | 0.999031i | \(-0.485986\pi\) |
−0.999031 | + | 0.0440116i | \(0.985986\pi\) | |||||||
\(380\) | −5.40074 | − | 3.11812i | −0.277052 | − | 0.159956i | ||||
\(381\) | 25.4077 | + | 21.4701i | 1.30168 | + | 1.09995i | ||||
\(382\) | −3.94542 | + | 14.7245i | −0.201865 | + | 0.753371i | ||||
\(383\) | 5.50114 | + | 20.5305i | 0.281095 | + | 1.04906i | 0.951646 | + | 0.307197i | \(0.0993911\pi\) |
−0.670551 | + | 0.741864i | \(0.733942\pi\) | |||||||
\(384\) | −0.737434 | + | 1.56722i | −0.0376320 | + | 0.0799771i | ||||
\(385\) | 2.07596 | − | 8.61628i | 0.105801 | − | 0.439126i | ||||
\(386\) | 20.9919i | 1.06846i | ||||||||
\(387\) | 3.42603 | − | 0.579640i | 0.174155 | − | 0.0294647i | ||||
\(388\) | −7.03063 | − | 1.88385i | −0.356926 | − | 0.0956381i | ||||
\(389\) | 6.58614 | + | 11.4075i | 0.333931 | + | 0.578385i | 0.983279 | − | 0.182106i | \(-0.0582915\pi\) |
−0.649348 | + | 0.760491i | \(0.724958\pi\) | |||||||
\(390\) | −11.3105 | + | 3.35810i | −0.572731 | + | 0.170044i | ||||
\(391\) | −30.2313 | −1.52886 | ||||||||
\(392\) | −2.15234 | − | 6.66089i | −0.108710 | − | 0.336426i | ||||
\(393\) | −6.99463 | + | 2.51841i | −0.352833 | + | 0.127037i | ||||
\(394\) | −9.37479 | − | 5.41253i | −0.472295 | − | 0.272680i | ||||
\(395\) | −12.2126 | − | 3.27236i | −0.614483 | − | 0.164650i | ||||
\(396\) | 4.83635 | − | 2.21453i | 0.243036 | − | 0.111285i | ||||
\(397\) | 6.05173 | + | 22.5853i | 0.303727 | + | 1.13353i | 0.934035 | + | 0.357181i | \(0.116262\pi\) |
−0.630308 | + | 0.776345i | \(0.717071\pi\) | |||||||
\(398\) | 8.24627 | + | 8.24627i | 0.413348 | + | 0.413348i | ||||
\(399\) | 11.7977 | + | 9.46698i | 0.590626 | + | 0.473942i | ||||
\(400\) | − | 1.43065i | − | 0.0715324i | ||||||
\(401\) | −10.0414 | + | 2.69059i | −0.501444 | + | 0.134362i | −0.500670 | − | 0.865638i | \(-0.666913\pi\) |
−0.000774026 | 1.00000i | \(0.500246\pi\) | ||||||||
\(402\) | 12.2995 | − | 14.5552i | 0.613443 | − | 0.725948i | ||||
\(403\) | −27.3789 | + | 5.68724i | −1.36384 | + | 0.283302i | ||||
\(404\) | −2.13950 | − | 1.23524i | −0.106444 | − | 0.0614555i | ||||
\(405\) | −9.55872 | − | 14.0623i | −0.474977 | − | 0.698762i | ||||
\(406\) | −0.158756 | − | 6.25604i | −0.00787892 | − | 0.310482i | ||||
\(407\) | 13.1800 | 0.653310 | ||||||||
\(408\) | −3.98248 | − | 5.72974i | −0.197162 | − | 0.283664i | ||||
\(409\) | 0.710467 | − | 2.65150i | 0.0351304 | − | 0.131108i | −0.946134 | − | 0.323776i | \(-0.895047\pi\) |
0.981264 | + | 0.192668i | \(0.0617141\pi\) | |||||||
\(410\) | −0.808008 | + | 3.01553i | −0.0399047 | + | 0.148926i | ||||
\(411\) | −6.61374 | − | 9.51543i | −0.326232 | − | 0.469362i | ||||
\(412\) | 3.04976 | 0.150251 | ||||||||
\(413\) | −29.3499 | − | 15.9664i | −1.44421 | − | 0.785657i | ||||
\(414\) | 2.11751 | − | 22.4125i | 0.104070 | − | 1.10151i | ||||
\(415\) | 9.65208 | + | 5.57263i | 0.473802 | + | 0.273550i | ||||
\(416\) | −0.733303 | − | 3.53019i | −0.0359531 | − | 0.173082i | ||||
\(417\) | −14.4792 | + | 17.1346i | −0.709047 | + | 0.839085i | ||||
\(418\) | −5.65329 | + | 1.51479i | −0.276511 | + | 0.0740910i | ||||
\(419\) | 36.6360i | 1.78979i | 0.446281 | + | 0.894893i | \(0.352748\pi\) | ||||
−0.446281 | + | 0.894893i | \(0.647252\pi\) | |||||||
\(420\) | 1.31629 | − | 8.55709i | 0.0642285 | − | 0.417543i | ||||
\(421\) | −8.20942 | − | 8.20942i | −0.400103 | − | 0.400103i | 0.478167 | − | 0.878269i | \(-0.341302\pi\) |
−0.878269 | + | 0.478167i | \(0.841302\pi\) | |||||||
\(422\) | −2.44808 | − | 9.13638i | −0.119171 | − | 0.444752i | ||||
\(423\) | −12.3419 | − | 26.9536i | −0.600083 | − | 1.31053i | ||||
\(424\) | 9.11442 | + | 2.44220i | 0.442635 | + | 0.118604i | ||||
\(425\) | 4.99140 | + | 2.88179i | 0.242119 | + | 0.139787i | ||||
\(426\) | 3.56192 | − | 1.28247i | 0.172575 | − | 0.0621357i | ||||
\(427\) | 22.8765 | + | 21.7441i | 1.10707 | + | 1.05227i | ||||
\(428\) | 15.6575 | 0.756836 | ||||||||
\(429\) | −5.27739 | + | 9.73439i | −0.254795 | + | 0.469981i | ||||
\(430\) | 1.09412 | + | 1.89506i | 0.0527629 | + | 0.0913881i | ||||
\(431\) | −12.7016 | − | 3.40340i | −0.611817 | − | 0.163936i | −0.0604118 | − | 0.998174i | \(-0.519241\pi\) |
−0.551405 | + | 0.834238i | \(0.685908\pi\) | |||||||
\(432\) | 4.52678 | − | 2.55114i | 0.217795 | − | 0.122742i | ||||
\(433\) | − | 20.3113i | − | 0.976097i | −0.872816 | − | 0.488049i | \(-0.837709\pi\) | ||
0.872816 | − | 0.488049i | \(-0.162291\pi\) | |||||||
\(434\) | 4.80632 | − | 19.9487i | 0.230711 | − | 0.957567i | ||||
\(435\) | 3.29540 | − | 7.00352i | 0.158002 | − | 0.335793i | ||||
\(436\) | −1.30934 | − | 4.88654i | −0.0627062 | − | 0.234023i | ||||
\(437\) | −6.41095 | + | 23.9260i | −0.306677 | + | 1.14453i | ||||
\(438\) | −2.24800 | − | 1.89962i | −0.107414 | − | 0.0907672i | ||||
\(439\) | −25.1485 | − | 14.5195i | −1.20027 | − | 0.692977i | −0.239656 | − | 0.970858i | \(-0.577035\pi\) |
−0.960615 | + | 0.277881i | \(0.910368\pi\) | |||||||
\(440\) | 2.36869 | + | 2.36869i | 0.112923 | + | 0.112923i | ||||
\(441\) | −6.31130 | + | 20.0292i | −0.300538 | + | 0.953770i | ||||
\(442\) | 13.7936 | + | 4.55253i | 0.656097 | + | 0.216542i | ||||
\(443\) | −21.6793 | − | 12.5166i | −1.03002 | − | 0.594680i | −0.113026 | − | 0.993592i | \(-0.536054\pi\) |
−0.916989 | + | 0.398912i | \(0.869388\pi\) | |||||||
\(444\) | 12.8298 | − | 1.07766i | 0.608877 | − | 0.0511436i | ||||
\(445\) | −3.11608 | − | 5.39722i | −0.147717 | − | 0.255853i | ||||
\(446\) | 5.83216 | − | 10.1016i | 0.276161 | − | 0.478324i | ||||
\(447\) | 2.71658 | + | 1.27825i | 0.128490 | + | 0.0604589i | ||||
\(448\) | 2.57215 | + | 0.619719i | 0.121523 | + | 0.0292790i | ||||
\(449\) | 23.3615 | + | 23.3615i | 1.10250 | + | 1.10250i | 0.994109 | + | 0.108386i | \(0.0345684\pi\) |
0.108386 | + | 0.994109i | \(0.465432\pi\) | |||||||
\(450\) | −2.48607 | + | 3.49860i | −0.117195 | + | 0.164926i | ||||
\(451\) | 1.46495 | + | 2.53737i | 0.0689820 | + | 0.119480i | ||||
\(452\) | −5.41389 | − | 9.37713i | −0.254648 | − | 0.441063i | ||||
\(453\) | −7.48431 | + | 5.20200i | −0.351643 | + | 0.244411i | ||||
\(454\) | 9.29057i | 0.436028i | ||||||||
\(455\) | 8.51335 | + | 15.8850i | 0.399112 | + | 0.744701i | ||||
\(456\) | −5.37922 | + | 1.93679i | −0.251905 | + | 0.0906983i | ||||
\(457\) | 14.7887 | − | 3.96263i | 0.691788 | − | 0.185364i | 0.104239 | − | 0.994552i | \(-0.466759\pi\) |
0.587550 | + | 0.809188i | \(0.300093\pi\) | |||||||
\(458\) | −17.3314 | + | 10.0063i | −0.809845 | + | 0.467564i | ||||
\(459\) | −0.217696 | + | 20.9323i | −0.0101612 | + | 0.977038i | ||||
\(460\) | 13.6942 | − | 3.66935i | 0.638495 | − | 0.171084i | ||||
\(461\) | 20.4542 | − | 20.4542i | 0.952648 | − | 0.952648i | −0.0462800 | − | 0.998929i | \(-0.514737\pi\) |
0.998929 | + | 0.0462800i | \(0.0147367\pi\) | |||||||
\(462\) | −4.80514 | − | 6.55217i | −0.223555 | − | 0.304835i | ||||
\(463\) | 11.4042 | − | 11.4042i | 0.530000 | − | 0.530000i | −0.390572 | − | 0.920572i | \(-0.627723\pi\) |
0.920572 | + | 0.390572i | \(0.127723\pi\) | |||||||
\(464\) | 2.04843 | + | 1.18266i | 0.0950960 | + | 0.0549037i | ||||
\(465\) | 16.3806 | − | 19.3847i | 0.759630 | − | 0.898945i | ||||
\(466\) | −22.4185 | − | 6.00702i | −1.03852 | − | 0.278270i | ||||
\(467\) | −7.70434 | + | 13.3443i | −0.356514 | + | 0.617501i | −0.987376 | − | 0.158394i | \(-0.949368\pi\) |
0.630861 | + | 0.775895i | \(0.282702\pi\) | |||||||
\(468\) | −4.34124 | + | 9.90725i | −0.200674 | + | 0.457963i | ||||
\(469\) | −25.5698 | − | 13.9101i | −1.18071 | − | 0.642308i | ||||
\(470\) | 13.2010 | − | 13.2010i | 0.608918 | − | 0.608918i | ||||
\(471\) | 31.2638 | + | 5.62446i | 1.44056 | + | 0.259162i | ||||
\(472\) | 10.9365 | − | 6.31422i | 0.503395 | − | 0.290636i | ||||
\(473\) | 1.98368 | + | 0.531525i | 0.0912096 | + | 0.0244395i | ||||
\(474\) | −9.51800 | + | 6.61552i | −0.437176 | + | 0.303861i | ||||
\(475\) | 3.33923 | − | 3.33923i | 0.153214 | − | 0.153214i | ||||
\(476\) | −7.34329 | + | 7.72569i | −0.336579 | + | 0.354106i | ||||
\(477\) | −18.0451 | − | 21.8107i | −0.826230 | − | 0.998642i | ||||
\(478\) | 6.50513 | + | 3.75574i | 0.297538 | + | 0.171783i | ||||
\(479\) | 2.85010 | − | 10.6367i | 0.130224 | − | 0.486004i | −0.869747 | − | 0.493497i | \(-0.835718\pi\) |
0.999972 | + | 0.00749277i | \(0.00238504\pi\) | |||||||
\(480\) | 2.49943 | + | 2.11208i | 0.114083 | + | 0.0964029i | ||||
\(481\) | −20.0002 | + | 17.8413i | −0.911930 | + | 0.813493i | ||||
\(482\) | 20.9978i | 0.956422i | ||||||||
\(483\) | −34.1833 | + | 3.74672i | −1.55540 | + | 0.170482i | ||||
\(484\) | −7.85618 | −0.357099 | ||||||||
\(485\) | −6.87568 | + | 11.9090i | −0.312208 | + | 0.540761i | ||||
\(486\) | −15.5033 | − | 1.62757i | −0.703242 | − | 0.0738280i | ||||
\(487\) | 7.54368 | − | 28.1534i | 0.341837 | − | 1.27575i | −0.554427 | − | 0.832232i | \(-0.687063\pi\) |
0.896264 | − | 0.443521i | \(-0.146271\pi\) | |||||||
\(488\) | −11.5227 | + | 3.08750i | −0.521609 | + | 0.139765i | ||||
\(489\) | −26.6253 | − | 12.5282i | −1.20404 | − | 0.566543i | ||||
\(490\) | −13.2079 | + | 0.670770i | −0.596672 | + | 0.0303023i | ||||
\(491\) | 17.6204 | 0.795198 | 0.397599 | − | 0.917559i | \(-0.369844\pi\) | ||||
0.397599 | + | 0.917559i | \(0.369844\pi\) | |||||||
\(492\) | 1.63350 | + | 2.35018i | 0.0736438 | + | 0.105954i | ||||
\(493\) | −8.25241 | + | 4.76453i | −0.371670 | + | 0.214584i | ||||
\(494\) | 6.52813 | − | 9.95128i | 0.293714 | − | 0.447729i | ||||
\(495\) | −1.67642 | − | 9.90870i | −0.0753496 | − | 0.445363i | ||||
\(496\) | 5.48407 | + | 5.48407i | 0.246242 | + | 0.246242i | ||||
\(497\) | −3.01754 | − | 4.93313i | −0.135355 | − | 0.221281i | ||||
\(498\) | 9.61363 | − | 3.46138i | 0.430797 | − | 0.155108i | ||||
\(499\) | 5.88028 | − | 1.57562i | 0.263238 | − | 0.0705343i | −0.124786 | − | 0.992184i | \(-0.539825\pi\) |
0.388024 | + | 0.921649i | \(0.373158\pi\) | |||||||
\(500\) | −11.7353 | − | 3.14446i | −0.524817 | − | 0.140624i | ||||
\(501\) | 18.4118 | − | 1.54653i | 0.822577 | − | 0.0690937i | ||||
\(502\) | −0.632344 | − | 2.35994i | −0.0282229 | − | 0.105329i | ||||
\(503\) | − | 38.6506i | − | 1.72334i | −0.507466 | − | 0.861671i | \(-0.669418\pi\) | ||
0.507466 | − | 0.861671i | \(-0.330582\pi\) | |||||||
\(504\) | −5.21320 | − | 5.98519i | −0.232215 | − | 0.266602i | ||||
\(505\) | −3.30036 | + | 3.30036i | −0.146864 | + | 0.146864i | ||||
\(506\) | 6.65268 | − | 11.5228i | 0.295748 | − | 0.512250i | ||||
\(507\) | −5.16884 | − | 21.9154i | −0.229556 | − | 0.973295i | ||||
\(508\) | 9.60260 | + | 16.6322i | 0.426047 | + | 0.737934i | ||||
\(509\) | 0.476080 | + | 1.77675i | 0.0211019 | + | 0.0787532i | 0.975674 | − | 0.219227i | \(-0.0703536\pi\) |
−0.954572 | + | 0.297981i | \(0.903687\pi\) | |||||||
\(510\) | −12.4035 | + | 4.46589i | −0.549238 | + | 0.197753i | ||||
\(511\) | −2.14837 | + | 3.94918i | −0.0950381 | + | 0.174701i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 16.5203 | + | 4.61127i | 0.729390 | + | 0.203592i | ||||
\(514\) | 4.19799 | + | 1.12485i | 0.185166 | + | 0.0496149i | ||||
\(515\) | 1.49127 | − | 5.56550i | 0.0657133 | − | 0.245245i | ||||
\(516\) | 1.97443 | + | 0.355207i | 0.0869196 | + | 0.0156371i | ||||
\(517\) | − | 17.5209i | − | 0.770569i | ||||||
\(518\) | −5.57045 | − | 18.8615i | −0.244751 | − | 0.828728i | ||||
\(519\) | 8.68565 | + | 24.1235i | 0.381258 | + | 1.05890i | ||||
\(520\) | −6.80081 | − | 0.387990i | −0.298235 | − | 0.0170145i | ||||
\(521\) | 11.5622 | − | 6.67544i | 0.506549 | − | 0.292456i | −0.224865 | − | 0.974390i | \(-0.572194\pi\) |
0.731414 | + | 0.681934i | \(0.238861\pi\) | |||||||
\(522\) | −2.95423 | − | 6.45177i | −0.129303 | − | 0.282386i | ||||
\(523\) | −7.83685 | + | 13.5738i | −0.342681 | + | 0.593542i | −0.984930 | − | 0.172955i | \(-0.944668\pi\) |
0.642248 | + | 0.766497i | \(0.278002\pi\) | |||||||
\(524\) | −4.29214 | −0.187503 | ||||||||
\(525\) | 6.00106 | + | 2.63990i | 0.261908 | + | 0.115215i | ||||
\(526\) | −8.04665 | − | 8.04665i | −0.350851 | − | 0.350851i | ||||
\(527\) | −30.1801 | + | 8.08674i | −1.31467 | + | 0.352264i | ||||
\(528\) | 3.06029 | − | 0.257054i | 0.133182 | − | 0.0111869i | ||||
\(529\) | −16.6557 | − | 28.8484i | −0.724159 | − | 1.25428i | ||||
\(530\) | 8.91353 | − | 15.4387i | 0.387179 | − | 0.670614i | ||||
\(531\) | −37.7174 | − | 3.56350i | −1.63679 | − | 0.154643i | ||||
\(532\) | 4.55710 | + | 7.45003i | 0.197575 | + | 0.323000i | ||||
\(533\) | −5.65776 | − | 1.86732i | −0.245065 | − | 0.0808824i | ||||
\(534\) | −5.62326 | − | 1.01164i | −0.243342 | − | 0.0437781i | ||||
\(535\) | 7.65622 | − | 28.5734i | 0.331007 | − | 1.23534i | ||||
\(536\) | 9.52801 | − | 5.50100i | 0.411547 | − | 0.237607i | ||||
\(537\) | 31.6743 | + | 5.69832i | 1.36685 | + | 0.245901i | ||||
\(538\) | 14.9933 | + | 14.9933i | 0.646408 | + | 0.646408i | ||||
\(539\) | −8.31988 | + | 9.21015i | −0.358363 | + | 0.396709i | ||||
\(540\) | −2.44206 | − | 9.50836i | −0.105090 | − | 0.409175i | ||||
\(541\) | −7.52229 | − | 28.0736i | −0.323409 | − | 1.20698i | −0.915902 | − | 0.401402i | \(-0.868523\pi\) |
0.592493 | − | 0.805575i | \(-0.298144\pi\) | |||||||
\(542\) | 12.8120 | − | 7.39701i | 0.550322 | − | 0.317729i | ||||
\(543\) | 25.4732 | + | 21.5255i | 1.09316 | + | 0.923746i | ||||
\(544\) | −1.04269 | − | 3.89138i | −0.0447050 | − | 0.166841i | ||||
\(545\) | −9.55767 | −0.409406 | ||||||||
\(546\) | 16.1610 | + | 3.43814i | 0.691629 | + | 0.147139i | ||||
\(547\) | −30.9427 | −1.32301 | −0.661506 | − | 0.749939i | \(-0.730083\pi\) | ||||
−0.661506 | + | 0.749939i | \(0.730083\pi\) | |||||||
\(548\) | −1.73161 | − | 6.46244i | −0.0739706 | − | 0.276062i | ||||
\(549\) | 33.5437 | + | 12.4729i | 1.43161 | + | 0.532332i | ||||
\(550\) | −2.19681 | + | 1.26833i | −0.0936722 | + | 0.0540817i | ||||
\(551\) | 2.02076 | + | 7.54158i | 0.0860873 | + | 0.321282i | ||||
\(552\) | 5.53377 | − | 11.7606i | 0.235533 | − | 0.500564i | ||||
\(553\) | 12.8336 | + | 12.1984i | 0.545739 | + | 0.518727i | ||||
\(554\) | −14.5633 | − | 14.5633i | −0.618735 | − | 0.618735i | ||||
\(555\) | 4.30691 | − | 23.9401i | 0.182818 | − | 1.01620i | ||||
\(556\) | −11.2165 | + | 6.47585i | −0.475686 | + | 0.274637i | ||||
\(557\) | 1.70215 | − | 6.35250i | 0.0721223 | − | 0.269164i | −0.920443 | − | 0.390877i | \(-0.872172\pi\) |
0.992565 | + | 0.121713i | \(0.0388386\pi\) | |||||||
\(558\) | −3.88130 | − | 22.9409i | −0.164309 | − | 0.971167i | ||||
\(559\) | −3.72966 | + | 1.87866i | −0.157748 | + | 0.0794589i | ||||
\(560\) | 2.38865 | − | 4.39088i | 0.100939 | − | 0.185548i | ||||
\(561\) | −5.26758 | + | 11.1949i | −0.222398 | + | 0.472648i | ||||
\(562\) | −5.66353 | + | 9.80951i | −0.238901 | + | 0.413789i | ||||
\(563\) | −22.8101 | − | 39.5083i | −0.961332 | − | 1.66508i | −0.719163 | − | 0.694842i | \(-0.755474\pi\) |
−0.242169 | − | 0.970234i | \(-0.577859\pi\) | |||||||
\(564\) | −1.43260 | − | 17.0554i | −0.0603232 | − | 0.718162i | ||||
\(565\) | −19.7596 | + | 5.29456i | −0.831292 | + | 0.222744i | ||||
\(566\) | 1.61288 | + | 1.61288i | 0.0677945 | + | 0.0677945i | ||||
\(567\) | 2.34810 | + | 23.6957i | 0.0986108 | + | 0.995126i | ||||
\(568\) | 2.18571 | 0.0917103 | ||||||||
\(569\) | 5.55993 | − | 9.63007i | 0.233084 | − | 0.403714i | −0.725630 | − | 0.688085i | \(-0.758452\pi\) |
0.958714 | + | 0.284371i | \(0.0917849\pi\) | |||||||
\(570\) | 0.904105 | + | 10.7636i | 0.0378688 | + | 0.450837i | ||||
\(571\) | 14.9711 | − | 8.64357i | 0.626521 | − | 0.361722i | −0.152882 | − | 0.988244i | \(-0.548856\pi\) |
0.779404 | + | 0.626522i | \(0.215522\pi\) | |||||||
\(572\) | −4.77063 | + | 4.25568i | −0.199470 | + | 0.177939i | ||||
\(573\) | 24.8421 | − | 8.94438i | 1.03779 | − | 0.373657i | ||||
\(574\) | 3.01201 | − | 3.16885i | 0.125719 | − | 0.132265i | ||||
\(575\) | 10.7357i | 0.447710i | ||||||||
\(576\) | 2.95796 | − | 0.500449i | 0.123248 | − | 0.0208520i | ||||
\(577\) | 0.801367 | − | 2.99074i | 0.0333613 | − | 0.124506i | −0.947237 | − | 0.320534i | \(-0.896138\pi\) |
0.980598 | + | 0.196028i | \(0.0628043\pi\) | |||||||
\(578\) | −0.743748 | − | 0.199287i | −0.0309358 | − | 0.00828923i | ||||
\(579\) | 29.8556 | − | 20.7513i | 1.24076 | − | 0.862393i | ||||
\(580\) | 3.15988 | − | 3.15988i | 0.131207 | − | 0.131207i | ||||
\(581\) | −8.14434 | − | 13.3145i | −0.337884 | − | 0.552380i | ||||
\(582\) | 4.27075 | + | 11.8616i | 0.177028 | + | 0.491678i | ||||
\(583\) | −4.33022 | − | 16.1606i | −0.179340 | − | 0.669304i | ||||
\(584\) | −0.849611 | − | 1.47157i | −0.0351571 | − | 0.0608940i | ||||
\(585\) | 15.9569 | + | 12.7668i | 0.659738 | + | 0.527841i | ||||
\(586\) | 13.7800 | − | 23.8677i | 0.569248 | − | 0.985966i | ||||
\(587\) | 17.5046 | − | 17.5046i | 0.722490 | − | 0.722490i | −0.246621 | − | 0.969112i | \(-0.579320\pi\) |
0.969112 | + | 0.246621i | \(0.0793204\pi\) | |||||||
\(588\) | −7.34576 | + | 9.64572i | −0.302934 | + | 0.397783i | ||||
\(589\) | 25.6004i | 1.05484i | ||||||||
\(590\) | −6.17505 | − | 23.0456i | −0.254223 | − | 0.948773i | ||||
\(591\) | 1.56937 | + | 18.6838i | 0.0645554 | + | 0.768548i | ||||
\(592\) | 7.18011 | + | 1.92390i | 0.295101 | + | 0.0790720i | ||||
\(593\) | −4.51085 | + | 1.20868i | −0.185238 | + | 0.0496345i | −0.350246 | − | 0.936658i | \(-0.613902\pi\) |
0.165007 | + | 0.986292i | \(0.447235\pi\) | |||||||
\(594\) | −7.93054 | − | 4.68933i | −0.325394 | − | 0.192406i | ||||
\(595\) | 10.5079 | + | 17.1785i | 0.430780 | + | 0.704248i | ||||
\(596\) | 1.22568 | + | 1.22568i | 0.0502057 | + | 0.0502057i | ||||
\(597\) | 3.57648 | − | 19.8800i | 0.146376 | − | 0.813635i | ||||
\(598\) | 5.50277 | + | 26.4909i | 0.225025 | + | 1.08329i | ||||
\(599\) | 30.3818 | − | 17.5409i | 1.24137 | − | 0.716703i | 0.271994 | − | 0.962299i | \(-0.412317\pi\) |
0.969372 | + | 0.245596i | \(0.0789835\pi\) | |||||||
\(600\) | −2.03474 | + | 1.41425i | −0.0830677 | + | 0.0577366i | ||||
\(601\) | −31.5161 | −1.28557 | −0.642784 | − | 0.766048i | \(-0.722221\pi\) | ||||
−0.642784 | + | 0.766048i | \(0.722221\pi\) | |||||||
\(602\) | −0.0777388 | − | 3.06343i | −0.00316840 | − | 0.124856i | ||||
\(603\) | −32.8597 | − | 3.10455i | −1.33815 | − | 0.126427i | ||||
\(604\) | −5.08300 | + | 1.36199i | −0.206824 | + | 0.0554184i | ||||
\(605\) | −3.84151 | + | 14.3367i | −0.156180 | + | 0.582870i | ||||
\(606\) | 0.358160 | + | 4.26398i | 0.0145493 | + | 0.173212i | ||||
\(607\) | −4.82277 | + | 8.35328i | −0.195750 | + | 0.339049i | −0.947146 | − | 0.320802i | \(-0.896047\pi\) |
0.751396 | + | 0.659851i | \(0.229381\pi\) | |||||||
\(608\) | −3.30087 | −0.133868 | ||||||||
\(609\) | −8.74071 | + | 6.41014i | −0.354192 | + | 0.259752i | ||||
\(610\) | 22.5375i | 0.912517i | ||||||||
\(611\) | 23.7174 | + | 26.5873i | 0.959504 | + | 1.07561i | ||||
\(612\) | −4.21228 | + | 11.3281i | −0.170271 | + | 0.457913i | ||||
\(613\) | −1.68162 | + | 6.27588i | −0.0679198 | + | 0.253480i | −0.991535 | − | 0.129841i | \(-0.958553\pi\) |
0.923615 | + | 0.383322i | \(0.125220\pi\) | |||||||
\(614\) | −5.17370 | − | 2.98704i | −0.208794 | − | 0.120547i | ||||
\(615\) | 5.08758 | − | 1.83178i | 0.205151 | − | 0.0738645i | ||||
\(616\) | −1.32872 | − | 4.49903i | −0.0535355 | − | 0.181271i | ||||
\(617\) | −15.3887 | + | 15.3887i | −0.619527 | + | 0.619527i | −0.945410 | − | 0.325883i | \(-0.894339\pi\) |
0.325883 | + | 0.945410i | \(0.394339\pi\) | |||||||
\(618\) | −3.01481 | − | 4.33752i | −0.121273 | − | 0.174481i | ||||
\(619\) | 37.3800 | + | 10.0159i | 1.50243 | + | 0.402575i | 0.913913 | − | 0.405911i | \(-0.133046\pi\) |
0.588516 | + | 0.808485i | \(0.299712\pi\) | |||||||
\(620\) | 12.6895 | − | 7.32627i | 0.509621 | − | 0.294230i | ||||
\(621\) | −33.9693 | + | 19.1440i | −1.36314 | + | 0.768221i | ||||
\(622\) | −1.97707 | + | 1.97707i | −0.0792733 | + | 0.0792733i | ||||
\(623\) | 0.221403 | + | 8.72476i | 0.00887033 | + | 0.349550i | ||||
\(624\) | −4.29591 | + | 4.53267i | −0.171974 | + | 0.181452i | ||||
\(625\) | −7.90001 | + | 13.6832i | −0.316000 | + | 0.547328i | ||||
\(626\) | −8.72095 | − | 2.33677i | −0.348559 | − | 0.0933961i | ||||
\(627\) | 7.74291 | + | 6.54294i | 0.309222 | + | 0.261300i | ||||
\(628\) | 15.8828 | + | 9.16996i | 0.633794 | + | 0.365921i | ||||
\(629\) | −21.1754 | + | 21.1754i | −0.844318 | + | 0.844318i | ||||
\(630\) | −13.4715 | + | 6.58692i | −0.536718 | + | 0.262429i | ||||
\(631\) | −0.880984 | + | 0.880984i | −0.0350714 | + | 0.0350714i | −0.724425 | − | 0.689354i | \(-0.757895\pi\) |
0.689354 | + | 0.724425i | \(0.257895\pi\) | |||||||
\(632\) | −6.46419 | + | 1.73207i | −0.257132 | + | 0.0688982i | ||||
\(633\) | −10.5742 | + | 12.5134i | −0.420285 | + | 0.497365i | ||||
\(634\) | 6.03987 | − | 3.48712i | 0.239874 | − | 0.138491i | ||||
\(635\) | 35.0475 | − | 9.39096i | 1.39082 | − | 0.372669i | ||||
\(636\) | −5.53654 | − | 15.3772i | −0.219538 | − | 0.609745i | ||||
\(637\) | 0.157664 | − | 25.2384i | 0.00624686 | − | 0.999980i | ||||
\(638\) | − | 4.19392i | − | 0.166039i | ||||||
\(639\) | −5.34508 | − | 3.79816i | −0.211448 | − | 0.150253i | ||||
\(640\) | 0.944637 | + | 1.63616i | 0.0373400 | + | 0.0646748i | ||||
\(641\) | −20.8196 | − | 36.0606i | −0.822326 | − | 1.42431i | −0.903946 | − | 0.427646i | \(-0.859343\pi\) |
0.0816205 | − | 0.996663i | \(-0.473990\pi\) | |||||||
\(642\) | −15.4781 | − | 22.2689i | −0.610872 | − | 0.878884i | ||||
\(643\) | 6.49542 | + | 6.49542i | 0.256154 | + | 0.256154i | 0.823488 | − | 0.567334i | \(-0.192025\pi\) |
−0.567334 | + | 0.823488i | \(0.692025\pi\) | |||||||
\(644\) | −19.3016 | − | 4.65043i | −0.760591 | − | 0.183253i | ||||
\(645\) | 1.61367 | − | 3.42945i | 0.0635384 | − | 0.135034i | ||||
\(646\) | 6.64902 | − | 11.5164i | 0.261602 | − | 0.453108i | ||||
\(647\) | 12.5131 | + | 21.6734i | 0.491941 | + | 0.852068i | 0.999957 | − | 0.00928034i | \(-0.00295406\pi\) |
−0.508015 | + | 0.861348i | \(0.669621\pi\) | |||||||
\(648\) | −8.10325 | − | 3.91630i | −0.318326 | − | 0.153847i | ||||
\(649\) | −19.3914 | − | 11.1956i | −0.761179 | − | 0.439467i | ||||
\(650\) | 1.61669 | − | 4.89838i | 0.0634116 | − | 0.192130i | ||||
\(651\) | −33.1232 | + | 12.8843i | −1.29820 | + | 0.504974i | ||||
\(652\) | −12.0129 | − | 12.0129i | −0.470463 | − | 0.470463i | ||||
\(653\) | 6.96251 | + | 4.01981i | 0.272464 | + | 0.157307i | 0.630007 | − | 0.776590i | \(-0.283052\pi\) |
−0.357543 | + | 0.933897i | \(0.616385\pi\) | |||||||
\(654\) | −5.65553 | + | 6.69275i | −0.221149 | + | 0.261707i | ||||
\(655\) | −2.09877 | + | 7.83271i | −0.0820056 | + | 0.306049i | ||||
\(656\) | 0.427682 | + | 1.59613i | 0.0166982 | + | 0.0623185i | ||||
\(657\) | −0.479488 | + | 5.07506i | −0.0187066 | + | 0.197997i | ||||
\(658\) | −25.0737 | + | 7.40510i | −0.977473 | + | 0.288681i | ||||
\(659\) | − | 9.01704i | − | 0.351254i | −0.984457 | − | 0.175627i | \(-0.943805\pi\) | ||
0.984457 | − | 0.175627i | \(-0.0561953\pi\) | |||||||
\(660\) | 1.02732 | − | 5.71042i | 0.0399885 | − | 0.222278i | ||||
\(661\) | 28.5433 | + | 7.64816i | 1.11021 | + | 0.297479i | 0.766914 | − | 0.641749i | \(-0.221791\pi\) |
0.343293 | + | 0.939228i | \(0.388458\pi\) | |||||||
\(662\) | 7.16350 | + | 12.4075i | 0.278417 | + | 0.482233i | ||||
\(663\) | −7.16074 | − | 24.1183i | −0.278100 | − | 0.936679i | ||||
\(664\) | 5.89924 | 0.228935 | ||||||||
\(665\) | 15.8239 | − | 4.67332i | 0.613623 | − | 0.181224i | ||||
\(666\) | −14.2155 | − | 17.1819i | −0.550839 | − | 0.665785i | ||||
\(667\) | −15.3716 | − | 8.87480i | −0.595191 | − | 0.343633i | ||||
\(668\) | 10.3040 | + | 2.76095i | 0.398673 | + | 0.106824i | ||||
\(669\) | −20.1323 | + | 1.69104i | −0.778359 | + | 0.0653796i | ||||
\(670\) | −5.37975 | − | 20.0775i | −0.207838 | − | 0.775662i | ||||
\(671\) | 14.9563 | + | 14.9563i | 0.577383 | + | 0.577383i | ||||
\(672\) | −1.66127 | − | 4.27085i | −0.0640851 | − | 0.164752i | ||||
\(673\) | − | 22.6718i | − | 0.873933i | −0.899478 | − | 0.436967i | \(-0.856053\pi\) | ||
0.899478 | − | 0.436967i | \(-0.143947\pi\) | |||||||
\(674\) | 1.24182 | − | 0.332745i | 0.0478332 | − | 0.0128169i | ||||
\(675\) | 7.43346 | + | 0.0773078i | 0.286114 | + | 0.00297558i | ||||
\(676\) | 1.47850 | − | 12.9157i | 0.0568655 | − | 0.496756i | ||||
\(677\) | 35.2952 | + | 20.3777i | 1.35650 | + | 0.783178i | 0.989151 | − | 0.146903i | \(-0.0469304\pi\) |
0.367354 | + | 0.930081i | \(0.380264\pi\) | |||||||
\(678\) | −7.98476 | + | 16.9696i | −0.306653 | + | 0.651712i | ||||
\(679\) | 16.4278 | − | 10.0487i | 0.630443 | − | 0.385635i | ||||
\(680\) | −7.61122 | −0.291877 | ||||||||
\(681\) | 13.2135 | − | 9.18410i | 0.506343 | − | 0.351935i | ||||
\(682\) | 3.55913 | − | 13.2828i | 0.136286 | − | 0.508626i | ||||
\(683\) | −8.73532 | + | 32.6006i | −0.334248 | + | 1.24743i | 0.570435 | + | 0.821343i | \(0.306775\pi\) |
−0.904683 | + | 0.426086i | \(0.859892\pi\) | |||||||
\(684\) | 8.07216 | + | 5.73600i | 0.308647 | + | 0.219322i | ||||
\(685\) | −12.6400 | −0.482950 | ||||||||
\(686\) | 16.6967 | + | 8.01372i | 0.637483 | + | 0.305965i | ||||
\(687\) | 31.3642 | + | 14.7580i | 1.19662 | + | 0.563052i | ||||
\(688\) | 1.00306 | + | 0.579120i | 0.0382415 | + | 0.0220787i | ||||
\(689\) | 28.4470 | + | 18.6615i | 1.08374 | + | 0.710945i | ||||
\(690\) | −18.7560 | − | 15.8492i | −0.714027 | − | 0.603370i | ||||
\(691\) | −12.4528 | + | 3.33672i | −0.473728 | + | 0.126935i | −0.487781 | − | 0.872966i | \(-0.662193\pi\) |
0.0140528 | + | 0.999901i | \(0.495527\pi\) | |||||||
\(692\) | 14.8030i | 0.562725i | ||||||||
\(693\) | −4.56875 | + | 13.3112i | −0.173552 | + | 0.505650i | ||||
\(694\) | 15.5133 | + | 15.5133i | 0.588877 | + | 0.588877i | ||||
\(695\) | 6.33312 | + | 23.6355i | 0.240229 | + | 0.896547i | ||||
\(696\) | −0.342915 | − | 4.08248i | −0.0129982 | − | 0.154746i | ||||
\(697\) | −6.43025 | − | 1.72298i | −0.243563 | − | 0.0652626i | ||||
\(698\) | 21.9694 | + | 12.6841i | 0.831556 | + | 0.480099i | ||||
\(699\) | 13.6181 | + | 37.8229i | 0.515084 | + | 1.43059i | ||||
\(700\) | 2.74353 | + | 2.60774i | 0.103696 | + | 0.0985632i | ||||
\(701\) | −7.08221 | −0.267492 | −0.133746 | − | 0.991016i | \(-0.542701\pi\) | ||||
−0.133746 | + | 0.991016i | \(0.542701\pi\) | |||||||
\(702\) | 18.3821 | − | 3.61939i | 0.693786 | − | 0.136605i | ||||
\(703\) | 12.2683 | + | 21.2494i | 0.462709 | + | 0.801435i | ||||
\(704\) | 1.71267 | + | 0.458908i | 0.0645486 | + | 0.0172957i | ||||
\(705\) | −31.8249 | − | 5.72540i | −1.19859 | − | 0.215631i | ||||
\(706\) | − | 22.9825i | − | 0.864957i | ||||||
\(707\) | 6.26861 | − | 1.85133i | 0.235755 | − | 0.0696265i | ||||
\(708\) | −19.7916 | − | 9.31263i | −0.743814 | − | 0.349990i | ||||
\(709\) | −6.52166 | − | 24.3392i | −0.244926 | − | 0.914076i | −0.973421 | − | 0.229025i | \(-0.926446\pi\) |
0.728495 | − | 0.685052i | \(-0.240220\pi\) | |||||||
\(710\) | 1.06877 | − | 3.98869i | 0.0401101 | − | 0.149693i | ||||
\(711\) | 18.8178 | + | 6.99725i | 0.705724 | + | 0.262418i | ||||
\(712\) | −2.85677 | − | 1.64936i | −0.107062 | − | 0.0618122i | ||||
\(713\) | −41.1529 | − | 41.1529i | −1.54119 | − | 1.54119i | ||||
\(714\) | 18.2470 | + | 2.80684i | 0.682876 | + | 0.105043i | ||||
\(715\) | 5.43343 | + | 10.7869i | 0.203199 | + | 0.403405i | ||||
\(716\) | 16.0914 | + | 9.29037i | 0.601364 | + | 0.347197i | ||||
\(717\) | −1.08898 | − | 12.9646i | −0.0406688 | − | 0.484172i | ||||
\(718\) | 10.6222 | + | 18.3982i | 0.396416 | + | 0.686613i | ||||
\(719\) | 8.08257 | − | 13.9994i | 0.301429 | − | 0.522090i | −0.675031 | − | 0.737789i | \(-0.735870\pi\) |
0.976460 | + | 0.215699i | \(0.0692031\pi\) | |||||||
\(720\) | 0.533117 | − | 5.64269i | 0.0198681 | − | 0.210291i | ||||
\(721\) | −5.55900 | + | 5.84848i | −0.207028 | + | 0.217809i | ||||
\(722\) | 5.73058 | + | 5.73058i | 0.213270 | + | 0.213270i | ||||
\(723\) | 29.8640 | − | 20.7571i | 1.11066 | − | 0.771965i | ||||
\(724\) | 9.62735 | + | 16.6751i | 0.357798 | + | 0.619724i | ||||
\(725\) | 1.69197 | + | 2.93058i | 0.0628383 | + | 0.108839i | ||||
\(726\) | 7.76614 | + | 11.1734i | 0.288228 | + | 0.414685i | ||||
\(727\) | − | 13.8986i | − | 0.515470i | −0.966216 | − | 0.257735i | \(-0.917024\pi\) | ||
0.966216 | − | 0.257735i | \(-0.0829762\pi\) | |||||||
\(728\) | 8.10644 | + | 5.02848i | 0.300445 | + | 0.186368i | ||||
\(729\) | 13.0108 | + | 23.6584i | 0.481881 | + | 0.876237i | ||||
\(730\) | −3.10091 | + | 0.830885i | −0.114770 | + | 0.0307524i | ||||
\(731\) | −4.04100 | + | 2.33307i | −0.149462 | + | 0.0862917i | ||||
\(732\) | 15.7819 | + | 13.3361i | 0.583314 | + | 0.492915i | ||||
\(733\) | 50.2347 | − | 13.4604i | 1.85546 | − | 0.497170i | 0.855670 | − | 0.517522i | \(-0.173146\pi\) |
0.999793 | + | 0.0203527i | \(0.00647891\pi\) | |||||||
\(734\) | 17.3321 | − | 17.3321i | 0.639740 | − | 0.639740i | ||||
\(735\) | 14.0105 | + | 18.1218i | 0.516786 | + | 0.668433i | ||||
\(736\) | 5.30619 | − | 5.30619i | 0.195589 | − | 0.195589i | ||||
\(737\) | −16.8939 | − | 9.75373i | −0.622297 | − | 0.359283i | ||||
\(738\) | 1.72776 | − | 4.64648i | 0.0635996 | − | 0.171039i | ||||
\(739\) | −39.6342 | − | 10.6200i | −1.45797 | − | 0.390662i | −0.559181 | − | 0.829045i | \(-0.688884\pi\) |
−0.898788 | + | 0.438384i | \(0.855551\pi\) | |||||||
\(740\) | 7.02186 | − | 12.1622i | 0.258129 | − | 0.447092i | ||||
\(741\) | −20.6065 | + | 0.552615i | −0.756999 | + | 0.0203008i | ||||
\(742\) | −21.2968 | + | 13.0270i | −0.781831 | + | 0.478237i | ||||
\(743\) | −22.9626 | + | 22.9626i | −0.842414 | + | 0.842414i | −0.989172 | − | 0.146758i | \(-0.953116\pi\) |
0.146758 | + | 0.989172i | \(0.453116\pi\) | |||||||
\(744\) | 2.37849 | − | 13.2209i | 0.0871997 | − | 0.484703i | ||||
\(745\) | 2.83607 | − | 1.63741i | 0.103906 | − | 0.0599899i | ||||
\(746\) | −17.2929 | − | 4.63361i | −0.633137 | − | 0.169648i | ||||
\(747\) | −14.4264 | − | 10.2513i | −0.527834 | − | 0.375074i | ||||
\(748\) | −5.05096 | + | 5.05096i | −0.184681 | + | 0.184681i | ||||
\(749\) | −28.5400 | + | 30.0262i | −1.04283 | + | 1.09714i | ||||
\(750\) | 7.12858 | + | 19.7989i | 0.260299 | + | 0.722953i | ||||
\(751\) | −13.1524 | − | 7.59356i | −0.479939 | − | 0.277093i | 0.240452 | − | 0.970661i | \(-0.422704\pi\) |
−0.720391 | + | 0.693568i | \(0.756038\pi\) | |||||||
\(752\) | 2.55755 | − | 9.54491i | 0.0932642 | − | 0.348067i | ||||
\(753\) | −2.73132 | + | 3.23224i | −0.0995349 | + | 0.117789i | ||||
\(754\) | 5.67715 | + | 6.36411i | 0.206749 | + | 0.231767i | ||||
\(755\) | 9.94193i | 0.361824i | ||||||||
\(756\) | −3.35897 | + | 13.3311i | −0.122165 | + | 0.484846i | ||||
\(757\) | 31.0409 | 1.12820 | 0.564100 | − | 0.825706i | \(-0.309223\pi\) | ||||
0.564100 | + | 0.825706i | \(0.309223\pi\) | |||||||
\(758\) | −13.1467 | + | 22.7708i | −0.477510 | + | 0.827071i | ||||
\(759\) | −22.9647 | + | 1.92896i | −0.833566 | + | 0.0700167i | ||||
\(760\) | −1.61406 | + | 6.02375i | −0.0585480 | + | 0.218504i | ||||
\(761\) | 11.6954 | − | 3.13377i | 0.423958 | − | 0.113599i | −0.0405307 | − | 0.999178i | \(-0.512905\pi\) |
0.464489 | + | 0.885579i | \(0.346238\pi\) | |||||||
\(762\) | 14.1626 | − | 30.0989i | 0.513055 | − | 1.09037i | ||||
\(763\) | 11.7575 | + | 6.39611i | 0.425649 | + | 0.231555i | ||||
\(764\) | 15.2439 | 0.551506 | ||||||||
\(765\) | 18.6130 | + | 13.2262i | 0.672954 | + | 0.478195i | ||||
\(766\) | 18.4072 | − | 10.6274i | 0.665078 | − | 0.383983i | ||||
\(767\) | 44.5808 | − | 9.26047i | 1.60972 | − | 0.334376i | ||||
\(768\) | 1.70468 | + | 0.306679i | 0.0615125 | + | 0.0110663i | ||||
\(769\) | 8.07445 | + | 8.07445i | 0.291172 | + | 0.291172i | 0.837543 | − | 0.546371i | \(-0.183991\pi\) |
−0.546371 | + | 0.837543i | \(0.683991\pi\) | |||||||
\(770\) | −8.85999 | + | 0.224835i | −0.319292 | + | 0.00810248i | ||||
\(771\) | −2.55007 | − | 7.08254i | −0.0918384 | − | 0.255072i | ||||
\(772\) | 20.2766 | − | 5.43309i | 0.729770 | − | 0.195541i | ||||
\(773\) | −7.82723 | − | 2.09730i | −0.281526 | − | 0.0754346i | 0.115293 | − | 0.993332i | \(-0.463219\pi\) |
−0.396819 | + | 0.917897i | \(0.629886\pi\) | |||||||
\(774\) | −1.44661 | − | 3.15927i | −0.0519974 | − | 0.113558i | ||||
\(775\) | 2.87175 | + | 10.7175i | 0.103156 | + | 0.384985i | ||||
\(776\) | 7.27865i | 0.261288i | ||||||||
\(777\) | −21.3192 | + | 26.5679i | −0.764821 | + | 0.953119i | ||||
\(778\) | 9.31421 | − | 9.31421i | 0.333931 | − | 0.333931i | ||||
\(779\) | −2.72724 | + | 4.72371i | −0.0977134 | + | 0.169245i | ||||
\(780\) | 6.17105 | + | 10.0560i | 0.220959 | + | 0.360062i | ||||
\(781\) | −1.93772 | − | 3.35623i | −0.0693371 | − | 0.120095i | ||||
\(782\) | 7.82444 | + | 29.2012i | 0.279802 | + | 1.04423i | ||||
\(783\) | −6.25565 | + | 10.5795i | −0.223559 | + | 0.378080i | ||||
\(784\) | −5.87685 | + | 3.80297i | −0.209888 | + | 0.135820i | ||||
\(785\) | 24.5006 | − | 24.5006i | 0.874465 | − | 0.874465i | ||||
\(786\) | 4.24294 | + | 6.10448i | 0.151341 | + | 0.217740i | ||||
\(787\) | 32.3411 | + | 8.66577i | 1.15284 | + | 0.308901i | 0.784101 | − | 0.620633i | \(-0.213124\pi\) |
0.368735 | + | 0.929535i | \(0.379791\pi\) | |||||||
\(788\) | −2.80173 | + | 10.4562i | −0.0998076 | + | 0.372487i | ||||
\(789\) | −3.48991 | + | 19.3988i | −0.124244 | + | 0.690615i | ||||
\(790\) | 12.6434i | 0.449833i | ||||||||
\(791\) | 27.8506 | + | 6.71018i | 0.990255 | + | 0.238587i | ||||
\(792\) | −3.39081 | − | 4.09839i | −0.120487 | − | 0.145630i | ||||
\(793\) | −42.9415 | − | 2.44984i | −1.52490 | − | 0.0869963i | ||||
\(794\) | 20.2495 | − | 11.6910i | 0.718627 | − | 0.414899i | ||||
\(795\) | −30.7690 | + | 2.58449i | −1.09126 | + | 0.0916626i | ||||
\(796\) | 5.83099 | − | 10.0996i | 0.206674 | − | 0.357970i | ||||
\(797\) | −31.3484 | −1.11042 | −0.555208 | − | 0.831712i | \(-0.687361\pi\) | ||||
−0.555208 | + | 0.831712i | \(0.687361\pi\) | |||||||
\(798\) | 6.09092 | − | 13.8460i | 0.215616 | − | 0.490142i | ||||
\(799\) | 28.1496 | + | 28.1496i | 0.995861 | + | 0.995861i | ||||
\(800\) | −1.38190 | + | 0.370279i | −0.0488575 | + | 0.0130913i | ||||
\(801\) | 4.12001 | + | 8.99773i | 0.145573 | + | 0.317919i | ||||
\(802\) | 5.19782 | + | 9.00288i | 0.183541 | + | 0.317903i | ||||
\(803\) | −1.50643 | + | 2.60921i | −0.0531608 | + | 0.0920772i | ||||
\(804\) | −17.2426 | − | 8.11324i | −0.608099 | − | 0.286132i | ||||
\(805\) | −17.9247 | + | 32.9495i | −0.631761 | + | 1.16132i | ||||
\(806\) | 12.5796 | + | 24.9741i | 0.443099 | + | 0.879673i | ||||
\(807\) | 6.50274 | − | 36.1457i | 0.228907 | − | 1.27239i | ||||
\(808\) | −0.639408 | + | 2.38630i | −0.0224943 | + | 0.0839498i | ||||
\(809\) | 21.7614 | − | 12.5640i | 0.765091 | − | 0.441725i | −0.0660299 | − | 0.997818i | \(-0.521033\pi\) |
0.831121 | + | 0.556092i | \(0.187700\pi\) | |||||||
\(810\) | −11.1092 | + | 12.8726i | −0.390336 | + | 0.452297i | ||||
\(811\) | −9.57492 | − | 9.57492i | −0.336221 | − | 0.336221i | 0.518722 | − | 0.854943i | \(-0.326408\pi\) |
−0.854943 | + | 0.518722i | \(0.826408\pi\) | |||||||
\(812\) | −6.00179 | + | 1.77253i | −0.210621 | + | 0.0622036i | ||||
\(813\) | −23.1855 | − | 10.9096i | −0.813152 | − | 0.382616i | ||||
\(814\) | −3.41124 | − | 12.7309i | −0.119564 | − | 0.446219i | ||||
\(815\) | −27.7965 | + | 16.0483i | −0.973667 | + | 0.562147i | ||||
\(816\) | −4.50376 | + | 5.32974i | −0.157663 | + | 0.186578i | ||||
\(817\) | 0.989516 | + | 3.69292i | 0.0346188 | + | 0.129199i | ||||
\(818\) | −2.74504 | −0.0959779 | ||||||||
\(819\) | −11.0859 | − | 26.3837i | −0.387374 | − | 0.921923i | ||||
\(820\) | 3.12190 | 0.109022 | ||||||||
\(821\) | −10.7262 | − | 40.0306i | −0.374346 | − | 1.39708i | −0.854298 | − | 0.519783i | \(-0.826013\pi\) |
0.479952 | − | 0.877294i | \(-0.340654\pi\) | |||||||
\(822\) | −7.47944 | + | 8.85115i | −0.260875 | + | 0.308719i | ||||
\(823\) | −37.9165 | + | 21.8911i | −1.32168 | + | 0.763075i | −0.983997 | − | 0.178183i | \(-0.942978\pi\) |
−0.337687 | + | 0.941258i | \(0.609645\pi\) | |||||||
\(824\) | −0.789336 | − | 2.94584i | −0.0274978 | − | 0.102623i | ||||
\(825\) | 3.97551 | + | 1.87062i | 0.138409 | + | 0.0651265i | ||||
\(826\) | −7.82609 | + | 32.4822i | −0.272304 | + | 1.13020i | ||||
\(827\) | −2.95104 | − | 2.95104i | −0.102618 | − | 0.102618i | 0.653934 | − | 0.756552i | \(-0.273117\pi\) |
−0.756552 | + | 0.653934i | \(0.773117\pi\) | |||||||
\(828\) | −22.1968 | + | 3.75541i | −0.771393 | + | 0.130510i | ||||
\(829\) | −20.6401 | + | 11.9166i | −0.716860 | + | 0.413879i | −0.813596 | − | 0.581431i | \(-0.802493\pi\) |
0.0967360 | + | 0.995310i | \(0.469160\pi\) | |||||||
\(830\) | 2.88461 | − | 10.7655i | 0.100126 | − | 0.373676i | ||||
\(831\) | −6.31623 | + | 35.1090i | −0.219108 | + | 1.21792i | ||||
\(832\) | −3.22011 | + | 1.62200i | −0.111637 | + | 0.0562327i | ||||
\(833\) | −1.43034 | − | 28.1642i | −0.0495582 | − | 0.975833i | ||||
\(834\) | 20.2982 | + | 9.55103i | 0.702870 | + | 0.330725i | ||||
\(835\) | 10.0769 | − | 17.4537i | 0.348725 | − | 0.604010i | ||||
\(836\) | 2.92636 | + | 5.06860i | 0.101210 | + | 0.175301i | ||||
\(837\) | −28.7909 | + | 28.1982i | −0.995158 | + | 0.974672i | ||||
\(838\) | 35.3877 | − | 9.48209i | 1.22245 | − | 0.327553i | ||||
\(839\) | 29.0248 | + | 29.0248i | 1.00205 | + | 1.00205i | 0.999998 | + | 0.00204922i | \(0.000652287\pi\) |
0.00204922 | + | 0.999998i | \(0.499348\pi\) | |||||||
\(840\) | −8.60620 | + | 0.943296i | −0.296942 | + | 0.0325468i | ||||
\(841\) | 23.4052 | 0.807077 | ||||||||
\(842\) | −5.80494 | + | 10.0544i | −0.200051 | + | 0.346499i | ||||
\(843\) | 19.5502 | − | 1.64215i | 0.673344 | − | 0.0565586i | ||||
\(844\) | −8.19145 | + | 4.72934i | −0.281961 | + | 0.162790i | ||||
\(845\) | −22.8468 | − | 9.01361i | −0.785953 | − | 0.310078i | ||||
\(846\) | −22.8408 | + | 18.8974i | −0.785284 | + | 0.649707i | ||||
\(847\) | 14.3200 | − | 15.0657i | 0.492040 | − | 0.517663i | ||||
\(848\) | − | 9.43594i | − | 0.324031i | ||||||
\(849\) | 0.699522 | − | 3.88832i | 0.0240075 | − | 0.133447i | ||||
\(850\) | 1.49172 | − | 5.56719i | 0.0511657 | − | 0.190953i | ||||
\(851\) | −53.8801 | − | 14.4371i | −1.84699 | − | 0.494899i | ||||
\(852\) | −2.16066 | − | 3.10862i | −0.0740229 | − | 0.106500i | ||||
\(853\) | −22.1862 | + | 22.1862i | −0.759640 | + | 0.759640i | −0.976257 | − | 0.216616i | \(-0.930498\pi\) |
0.216616 | + | 0.976257i | \(0.430498\pi\) | |||||||
\(854\) | 15.0824 | − | 27.7248i | 0.516108 | − | 0.948722i | ||||
\(855\) | 14.4147 | − | 11.9261i | 0.492974 | − | 0.407863i | ||||
\(856\) | −4.05247 | − | 15.1240i | −0.138511 | − | 0.516928i | ||||
\(857\) | 8.80481 | + | 15.2504i | 0.300767 | + | 0.520943i | 0.976310 | − | 0.216377i | \(-0.0694242\pi\) |
−0.675543 | + | 0.737320i | \(0.736091\pi\) | |||||||
\(858\) | 10.7686 | + | 2.57812i | 0.367633 | + | 0.0880156i | ||||
\(859\) | 6.64921 | − | 11.5168i | 0.226868 | − | 0.392947i | −0.730010 | − | 0.683436i | \(-0.760485\pi\) |
0.956878 | + | 0.290489i | \(0.0938180\pi\) | |||||||
\(860\) | 1.54731 | − | 1.54731i | 0.0527629 | − | 0.0527629i | ||||
\(861\) | −7.48439 | − | 1.15128i | −0.255067 | − | 0.0392357i | ||||
\(862\) | 13.1497i | 0.447881i | ||||||||
\(863\) | 10.7045 | + | 39.9496i | 0.364384 | + | 1.35990i | 0.868254 | + | 0.496121i | \(0.165243\pi\) |
−0.503869 | + | 0.863780i | \(0.668091\pi\) | |||||||
\(864\) | −3.63583 | − | 3.71225i | −0.123693 | − | 0.126293i | ||||
\(865\) | 27.0139 | + | 7.23836i | 0.918501 | + | 0.246111i | ||||
\(866\) | −19.6192 | + | 5.25694i | −0.666687 | + | 0.178638i | ||||
\(867\) | 0.451789 | + | 1.25480i | 0.0153436 | + | 0.0426151i | ||||
\(868\) | −20.5129 | + | 0.520544i | −0.696253 | + | 0.0176684i | ||||
\(869\) | 8.39043 | + | 8.39043i | 0.284626 | + | 0.284626i | ||||
\(870\) | −7.61779 | − | 1.37047i | −0.258267 | − | 0.0464632i | ||||
\(871\) | 38.8392 | − | 8.06780i | 1.31602 | − | 0.273367i | ||||
\(872\) | −4.38115 | + | 2.52946i | −0.148364 | + | 0.0856583i | ||||
\(873\) | 12.6483 | − | 17.7997i | 0.428080 | − | 0.602428i | ||||
\(874\) | 24.7700 | 0.837858 | ||||||||
\(875\) | 27.4208 | − | 16.7730i | 0.926991 | − | 0.567030i | ||||
\(876\) | −1.25306 | + | 2.66306i | −0.0423371 | + | 0.0899765i | ||||
\(877\) | 20.0615 | − | 5.37547i | 0.677429 | − | 0.181517i | 0.0963301 | − | 0.995349i | \(-0.469290\pi\) |
0.581099 | + | 0.813833i | \(0.302623\pi\) | |||||||
\(878\) | −7.51583 | + | 28.0495i | −0.253647 | + | 0.946624i | ||||
\(879\) | −47.5679 | + | 3.99554i | −1.60443 | + | 0.134766i | ||||
\(880\) | 1.67492 | − | 2.90104i | 0.0564615 | − | 0.0977942i | ||||
\(881\) | −14.9464 | −0.503556 | −0.251778 | − | 0.967785i | \(-0.581015\pi\) | ||||
−0.251778 | + | 0.967785i | \(0.581015\pi\) | |||||||
\(882\) | 20.9802 | + | 0.912323i | 0.706439 | + | 0.0307195i | ||||
\(883\) | − | 25.4257i | − | 0.855642i | −0.903863 | − | 0.427821i | \(-0.859281\pi\) | ||
0.903863 | − | 0.427821i | \(-0.140719\pi\) | |||||||
\(884\) | 0.827343 | − | 14.5019i | 0.0278266 | − | 0.487752i | ||||
\(885\) | −26.6723 | + | 31.5639i | −0.896579 | + | 1.06101i | ||||
\(886\) | −6.47905 | + | 24.1801i | −0.217668 | + | 0.812348i | ||||
\(887\) | 9.09755 | + | 5.25247i | 0.305466 | + | 0.176361i | 0.644896 | − | 0.764271i | \(-0.276901\pi\) |
−0.339430 | + | 0.940631i | \(0.610234\pi\) | |||||||
\(888\) | −4.36155 | − | 12.1137i | −0.146364 | − | 0.406511i | ||||
\(889\) | −49.3986 | − | 11.9018i | −1.65678 | − | 0.399175i | ||||
\(890\) | −4.40681 | + | 4.40681i | −0.147717 | + | 0.147717i | ||||
\(891\) | 1.17025 | + | 15.9148i | 0.0392049 | + | 0.533165i | ||||
\(892\) | −11.2669 | − | 3.01895i | −0.377242 | − | 0.101082i | ||||
\(893\) | 28.2479 | − | 16.3090i | 0.945281 | − | 0.545758i | ||||
\(894\) | 0.531588 | − | 2.95485i | 0.0177790 | − | 0.0988250i | ||||
\(895\) | 24.8223 | − | 24.8223i | 0.829719 | − | 0.829719i | ||||
\(896\) | −0.0671181 | − | 2.64490i | −0.00224226 | − | 0.0883599i | ||||
\(897\) | 32.2369 | − | 34.0136i | 1.07636 | − | 1.13568i | ||||
\(898\) | 16.5190 | − | 28.6118i | 0.551248 | − | 0.954789i | ||||
\(899\) | −17.7195 | − | 4.74793i | −0.590980 | − | 0.158352i | ||||
\(900\) | 4.02283 | + | 1.49586i | 0.134094 | + | 0.0498619i | ||||
\(901\) | 32.9212 | + | 19.0070i | 1.09676 | + | 0.633216i | ||||
\(902\) | 2.07176 | − | 2.07176i | 0.0689820 | − | 0.0689820i | ||||
\(903\) | −4.28011 | + | 3.13888i | −0.142433 | + | 0.104455i | ||||
\(904\) | −7.65639 | + | 7.65639i | −0.254648 | + | 0.254648i | ||||
\(905\) | 35.1378 | − | 9.41516i | 1.16802 | − | 0.312970i | ||||
\(906\) | 6.96182 | + | 5.88291i | 0.231291 | + | 0.195447i | ||||
\(907\) | 28.6605 | − | 16.5472i | 0.951657 | − | 0.549439i | 0.0580616 | − | 0.998313i | \(-0.481508\pi\) |
0.893595 | + | 0.448874i | \(0.148175\pi\) | |||||||
\(908\) | 8.97401 | − | 2.40458i | 0.297813 | − | 0.0797987i | ||||
\(909\) | 5.71039 | − | 4.72451i | 0.189402 | − | 0.156702i | ||||
\(910\) | 13.1403 | − | 12.3346i | 0.435598 | − | 0.408888i | ||||
\(911\) | − | 6.36943i | − | 0.211029i | −0.994418 | − | 0.105514i | \(-0.966351\pi\) | ||
0.994418 | − | 0.105514i | \(-0.0336489\pi\) | |||||||
\(912\) | 3.26304 | + | 4.69465i | 0.108050 | + | 0.155456i | ||||
\(913\) | −5.22992 | − | 9.05848i | −0.173085 | − | 0.299792i | ||||
\(914\) | −7.65522 | − | 13.2592i | −0.253212 | − | 0.438576i | ||||
\(915\) | 32.0539 | − | 22.2792i | 1.05967 | − | 0.736528i | ||||
\(916\) | 14.1511 | + | 14.1511i | 0.467564 | + | 0.467564i | ||||
\(917\) | 7.82356 | − | 8.23097i | 0.258357 | − | 0.271811i | ||||
\(918\) | 20.2754 | − | 5.20741i | 0.669189 | − | 0.171870i | ||||
\(919\) | −3.77646 | + | 6.54103i | −0.124574 | + | 0.215769i | −0.921566 | − | 0.388221i | \(-0.873090\pi\) |
0.796992 | + | 0.603989i | \(0.206423\pi\) | |||||||
\(920\) | −7.08863 | − | 12.2779i | −0.233705 | − | 0.404790i | ||||
\(921\) | 0.866097 | + | 10.3111i | 0.0285389 | + | 0.339762i | ||||
\(922\) | −25.0512 | − | 14.4633i | −0.825018 | − | 0.476324i | ||||
\(923\) | 7.48362 | + | 2.46993i | 0.246326 | + | 0.0812988i | ||||
\(924\) | −5.08525 | + | 6.33723i | −0.167292 | + | 0.208480i | ||||
\(925\) | 7.51977 | + | 7.51977i | 0.247249 | + | 0.247249i | ||||
\(926\) | −13.9673 | − | 8.06402i | −0.458993 | − | 0.265000i | ||||
\(927\) | −3.18877 | + | 8.57561i | −0.104733 | + | 0.281660i | ||||
\(928\) | 0.612191 | − | 2.28473i | 0.0200961 | − | 0.0749998i | ||||
\(929\) | −13.4262 | − | 50.1073i | −0.440500 | − | 1.64397i | −0.727552 | − | 0.686053i | \(-0.759342\pi\) |
0.287052 | − | 0.957915i | \(-0.407325\pi\) | |||||||
\(930\) | −22.9638 | − | 10.8053i | −0.753013 | − | 0.354319i | ||||
\(931\) | −22.5934 | − | 4.84058i | −0.740467 | − | 0.158644i | ||||
\(932\) | 23.2094i | 0.760248i | ||||||||
\(933\) | 4.76629 | + | 0.857473i | 0.156041 | + | 0.0280724i | ||||
\(934\) | 14.8836 | + | 3.98806i | 0.487008 | + | 0.130493i | ||||
\(935\) | 6.74766 | + | 11.6873i | 0.220672 | + | 0.382215i | ||||
\(936\) | 10.6933 | + | 1.62913i | 0.349520 | + | 0.0532498i | ||||
\(937\) | −1.69179 | −0.0552683 | −0.0276341 | − | 0.999618i | \(-0.508797\pi\) | ||||
−0.0276341 | + | 0.999618i | \(0.508797\pi\) | |||||||
\(938\) | −6.81815 | + | 28.2988i | −0.222620 | + | 0.923987i | ||||
\(939\) | 5.29753 | + | 14.7133i | 0.172878 | + | 0.480152i | ||||
\(940\) | −16.1679 | − | 9.33453i | −0.527338 | − | 0.304459i | ||||
\(941\) | 50.2245 | + | 13.4576i | 1.63727 | + | 0.438706i | 0.956010 | − | 0.293335i | \(-0.0947650\pi\) |
0.681261 | + | 0.732040i | \(0.261432\pi\) | |||||||
\(942\) | −2.65885 | − | 31.6542i | −0.0866299 | − | 1.03135i | ||||
\(943\) | −3.20936 | − | 11.9775i | −0.104511 | − | 0.390041i | ||||
\(944\) | −8.92965 | − | 8.92965i | −0.290636 | − | 0.290636i | ||||
\(945\) | 22.6854 | + | 12.6484i | 0.737955 | + | 0.411453i | ||||
\(946\) | − | 2.05365i | − | 0.0667701i | ||||||
\(947\) | −10.3196 | + | 2.76512i | −0.335340 | + | 0.0898542i | −0.422560 | − | 0.906335i | \(-0.638868\pi\) |
0.0872197 | + | 0.996189i | \(0.472202\pi\) | |||||||
\(948\) | 8.85354 | + | 7.48146i | 0.287550 | + | 0.242986i | ||||
\(949\) | −1.24604 | − | 5.99858i | −0.0404483 | − | 0.194722i | ||||
\(950\) | −4.08970 | − | 2.36119i | −0.132687 | − | 0.0766071i | ||||
\(951\) | −10.9302 | − | 5.14304i | −0.354436 | − | 0.166774i | ||||
\(952\) | 9.36302 | + | 5.09352i | 0.303457 | + | 0.165082i | ||||
\(953\) | 11.9865 | 0.388282 | 0.194141 | − | 0.980974i | \(-0.437808\pi\) | ||||
0.194141 | + | 0.980974i | \(0.437808\pi\) | |||||||
\(954\) | −16.3971 | + | 23.0753i | −0.530875 | + | 0.747090i | ||||
\(955\) | 7.45397 | − | 27.8186i | 0.241205 | − | 0.900189i | ||||
\(956\) | 1.94411 | − | 7.25553i | 0.0628771 | − | 0.234661i | ||||
\(957\) | −5.96479 | + | 4.14585i | −0.192814 | + | 0.134016i | ||||
\(958\) | −11.0119 | −0.355780 | ||||||||
\(959\) | 15.5493 | + | 8.45885i | 0.502112 | + | 0.273151i | ||||
\(960\) | 1.39321 | − | 2.96091i | 0.0449658 | − | 0.0955631i | ||||
\(961\) | −25.2447 | − | 14.5750i | −0.814344 | − | 0.470162i | ||||
\(962\) | 22.4098 | + | 14.7010i | 0.722521 | + | 0.473980i | ||||
\(963\) | −16.3712 | + | 44.0274i | −0.527555 | + | 1.41876i | ||||
\(964\) | 20.2823 | − | 5.43462i | 0.653248 | − | 0.175037i | ||||
\(965\) | − | 39.6593i | − | 1.27668i | ||||||
\(966\) | 12.4663 | + | 32.0488i | 0.401098 | + | 1.03115i | ||||
\(967\) | −29.6610 | − | 29.6610i | −0.953833 | − | 0.953833i | 0.0451476 | − | 0.998980i | \(-0.485624\pi\) |
−0.998980 | + | 0.0451476i | \(0.985624\pi\) | |||||||
\(968\) | 2.03333 | + | 7.58848i | 0.0653536 | + | 0.243903i | ||||
\(969\) | −22.9521 | + | 1.92790i | −0.737326 | + | 0.0619329i | ||||
\(970\) | 13.2828 | + | 3.55911i | 0.426485 | + | 0.114276i | ||||
\(971\) | 4.19572 | + | 2.42240i | 0.134647 | + | 0.0777385i | 0.565810 | − | 0.824535i | \(-0.308563\pi\) |
−0.431163 | + | 0.902274i | \(0.641897\pi\) | |||||||
\(972\) | 2.44043 | + | 15.3962i | 0.0782768 | + | 0.493835i | ||||
\(973\) | 8.02643 | − | 33.3137i | 0.257315 | − | 1.06799i | ||||
\(974\) | −29.1466 | −0.933916 | ||||||||
\(975\) | −8.56487 | + | 2.54291i | −0.274295 | + | 0.0814383i | ||||
\(976\) | 5.96460 | + | 10.3310i | 0.190922 | + | 0.330687i | ||||
\(977\) | 9.02380 | + | 2.41792i | 0.288697 | + | 0.0773561i | 0.400261 | − | 0.916401i | \(-0.368919\pi\) |
−0.111564 | + | 0.993757i | \(0.535586\pi\) | |||||||
\(978\) | −5.21012 | + | 28.9606i | −0.166601 | + | 0.926059i | ||||
\(979\) | 5.84889i | 0.186931i | ||||||||
\(980\) | 4.06637 | + | 12.5842i | 0.129895 | + | 0.401989i | ||||
\(981\) | 15.1095 | + | 1.42753i | 0.482408 | + | 0.0455775i | ||||
\(982\) | −4.56050 | − | 17.0200i | −0.145531 | − | 0.543130i | ||||
\(983\) | 1.27531 | − | 4.75954i | 0.0406762 | − | 0.151806i | −0.942601 | − | 0.333922i | \(-0.891628\pi\) |
0.983277 | + | 0.182116i | \(0.0582946\pi\) | |||||||
\(984\) | 1.84731 | − | 2.18611i | 0.0588902 | − | 0.0696906i | ||||
\(985\) | 17.7115 | + | 10.2258i | 0.564336 | + | 0.325820i | ||||
\(986\) | 6.73806 | + | 6.73806i | 0.214584 | + | 0.214584i | ||||
\(987\) | 35.3182 | + | 28.3407i | 1.12419 | + | 0.902096i | ||||
\(988\) | −11.3018 | − | 3.73011i | −0.359558 | − | 0.118670i | ||||
\(989\) | −7.52709 | − | 4.34577i | −0.239347 | − | 0.138187i | ||||
\(990\) | −9.13718 | + | 4.18386i | −0.290399 | + | 0.132972i | ||||
\(991\) | −27.0543 | − | 46.8594i | −0.859408 | − | 1.48854i | −0.872494 | − | 0.488625i | \(-0.837499\pi\) |
0.0130855 | − | 0.999914i | \(-0.495835\pi\) | |||||||
\(992\) | 3.87782 | − | 6.71659i | 0.123121 | − | 0.213252i | ||||
\(993\) | 10.5652 | − | 22.4536i | 0.335277 | − | 0.712544i | ||||
\(994\) | −3.98404 | + | 4.19150i | −0.126366 | + | 0.132946i | ||||
\(995\) | −15.5795 | − | 15.5795i | −0.493902 | − | 0.493902i | ||||
\(996\) | −5.83163 | − | 8.39018i | −0.184782 | − | 0.265853i | ||||
\(997\) | 1.60113 | + | 2.77325i | 0.0507084 | + | 0.0878296i | 0.890265 | − | 0.455442i | \(-0.150519\pi\) |
−0.839557 | + | 0.543272i | \(0.817185\pi\) | |||||||
\(998\) | −3.04386 | − | 5.27212i | −0.0963516 | − | 0.166886i | ||||
\(999\) | −10.3843 | + | 37.2030i | −0.328546 | + | 1.17705i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bv.a.359.5 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.359.36 | yes | 144 | |
7.4 | even | 3 | inner | 546.2.bv.a.515.36 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.317.5 | ✓ | 144 | |
21.11 | odd | 6 | inner | 546.2.bv.a.515.5 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.317.36 | yes | 144 | |
91.18 | odd | 12 | inner | 546.2.bv.a.473.36 | yes | 144 | |
273.200 | even | 12 | inner | 546.2.bv.a.473.5 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.5 | ✓ | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.317.36 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.359.5 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.359.36 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.473.5 | yes | 144 | 273.200 | even | 12 | inner | |
546.2.bv.a.473.36 | yes | 144 | 91.18 | odd | 12 | inner | |
546.2.bv.a.515.5 | yes | 144 | 21.11 | odd | 6 | inner | |
546.2.bv.a.515.36 | yes | 144 | 7.4 | even | 3 | inner |